Answer to Analytics Geometry Problems #1-5

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0vyjrc4hWgmApUugisdwFUr2Aclnyy3p1d9_Y0Z4MehJt_cAjzVnolBZZOzk__RTOdJHJukUt1WjAWGNcXHKSQomSMA88I8MRZtf5b2rXKOQLpH400MY-m7ONiiw2DuiNq7BEF4gEyK-d/s1600/HeartCurves.gif" style="margin-left: auto; margin-right: auto;"><img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0vyjrc4hWgmApUugisdwFUr2Aclnyy3p1d9_Y0Z4MehJt_cAjzVnolBZZOzk__RTOdJHJukUt1WjAWGNcXHKSQomSMA88I8MRZtf5b2rXKOQLpH400MY-m7ONiiw2DuiNq7BEF4gEyK-d/s1600/HeartCurves.gif" width="400" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilation of Problems in Analytic Geometry</td></tr> </tbody></table> <div style="text-align: center;"> <b>COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>ANALYTIC GEOMETRY</b></div> <h3 style="text-align: left;">PROBLEMS & SOLTUIONS:</h3><div><div><b>1. Find the equation of the directrix of the parabola y^2=16x.</b></div><div><b><br /></b></div><div><b>Solution:</b></div><div><br /></div><div>The given equation is y^2 = 16x, which is the standard form of a parabola with vertex at the origin.<br /><br />To find the equation of the directrix, we first need to determine the focus of the parabola. The focus is a point on the axis of symmetry that is equidistant from the vertex and the directrix.<br /><br />The axis of symmetry is the vertical line passing through the vertex, which is x = 0.<br /><br />The distance from the vertex (0,0) to the focus (p,0) is given by the equation p = 1/4a, where a is the coefficient of x in the equation of the parabola. In this case, a = 4, so p = 1.<br /><br />Therefore, the focus is located at (1,0).<br /><br />Now we can find the equation of the directrix. The directrix is a vertical line that is perpendicular to the axis of symmetry and is located at a distance of p units to the left of the vertex. Since the vertex is at the origin, the equation of the directrix is x = -p.<br /><br />Substituting p = 1, we get the equation of the directrix as x = -1.<br /><br />Therefore, the equation of the directrix of the parabola y^2 = 16x is x = -1<br /><br /><b><br />2. The midpoint of the line segment between P1 and P2 (-2, 4) is P (2, -1). Find P1</b></div><div><b><br /></b></div><div><b>Solution:</b></div><div><b><br /></b></div><div>Let P1 be (x1, y1) be the coordinates of the point P1.<br /><br />The midpoint formula tells us that the midpoint of the line segment between two points (x1, y1) and (x2, y2) is given by:<br /><br />((x1 + x2)/2, (y1 + y2)/2)<br /><br />In this case, the midpoint of the line segment between P1 and P2 is (2, -1), so we can write:<br /><br />((x1 + (-2))/2, (y1 + 4)/2) = (2, -1)<br /><br />Simplifying this equation, we get:<br /><br />(x1 - 2, y1 + 4) = (4, -2)<br /><br />Equating the corresponding x and y coordinates, we get two equations:<br /><br />x1 - 2 = 4<br />y1 + 4 = -2<br /><br />Solving for x1 and y1, we get:<br /><br />x1 = 6<br />y1 = -6<br /><br />Therefore, P1 is (6, -6).<br /><br /><br /><b>3. Given an ellipse: (x^2)/36 + (y^2)/32=1. Determine the distance between foci.</b></div><div><b><br /></b></div><div><b>Solution:</b></div><div><b><br /></b></div><div>The equation of the ellipse is:<br /><br />(x^2)/36 + (y^2)/32 = 1<br /><br />We can write this equation in standard form by dividing both sides by the constant on the right side:<br /><br />(x^2)/36/1 + (y^2)/32/1 = 1<br /><br />Simplifying, we get:<br /><br />(x^2)/36 = 1 - (y^2)/32<br /><br />We can rewrite this equation as:<br /><br />(x^2)/a^2 - (y^2)/b^2 = 1<br /><br />where a^2 = 36 and b^2 = 32.<br /><br />The distance between the foci of an ellipse is given by:<br /><br />c = sqrt(a^2 - b^2)<br /><br />Plugging in the values of a and b, we get:<br /><br />c = sqrt(36 - 32) = sqrt(4) = 2<br /><br />Therefore, the distance between the foci of the ellipse is 2.<br /><br /><br /><b>4. Convert the θ = π/3 to the Cartesian equation.</b></div><div><b><br /></b></div><div><b>Solution:</b></div><div><br /></div><div>The polar equation θ = π/3 describes a half-line starting at the origin and making an angle of π/3 with the positive x-axis in the counterclockwise direction.<br /><br />To convert this to Cartesian coordinates, we can use the relationships between polar and Cartesian coordinates:<br /><br />x = r cos(θ)<br />y = r sin(θ)<br /><br />In this case, we have θ = π/3, so we can write:<br /><br />x = r cos(π/3)<br />y = r sin(π/3)<br /><br />Simplifying these equations, we get:<br /><br />x = (1/2)r<br />y = (sqrt(3)/2)r<br /><br />Now, we need to eliminate the parameter r to obtain the Cartesian equation. We can do this by squaring both sides of the equations for x and y, and then using the identity:<br /><br />x^2 + y^2 = r^2<br /><br />Substituting the expressions for x and y, we get:<br /><br />(x^2 + y^2) = (1/4)r^2 + (3/4)r^2<br /><br />Simplifying, we get:<br /><br />x^2 + y^2 = r^2 = (4/3)(x^2 + y^2)<br /><br />Multiplying both sides by 3/4, we get:<br /><br />3x^2 + 3y^2 = 4x^2 + 4y^2<br /><br />Simplifying further, we get:<br /><br />x^2 - y^2 = 0<br /><br />Therefore, the Cartesian equation of the polar equation θ = π/3 is x^2 - y^2 = 0.<br /><br /><br /><b>5.  Find the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1, 3).</b></div><div><b><br /></b></div><div><b>Solution:</b></div><div><br /></div><div>To find the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1, 3), we need to shift the origin of the coordinate system to (1, 3).<br /><br />Let Q be the point obtained by shifting P to the new origin. Then, the coordinates of Q are given by:<br /><br />Q(x', y') = P(x + 1, y + 3) = (2 + 1, 4 + 3) = (3, 7)<br /><br />Therefore, the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1, 3) are (3, 7).<br /> </div></div>

Answer to Analytics Geometry Problems #1-5

Compilation of Problems in Analytic Geometry COMPILATION OF MATH PROBLEMS ANALYTIC GEOMETRY PROBLEMS & SOLTUIONS: 1. Find the eq...

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Compilation of Mathematics Problems - SOLID GEOMETRY Set 2

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXoNPE6zftTAMV5TSjpfs_3PIcA8MLfS6q_bMc9MN6zNsWHpbDI5BSz7156r2TIsxkzs8G1-tIrmXWd3-vxcM4w-8mAbHfIO_a3nZT1yMaey8-sPt2l0vUvrebTKyk-qH7V6WCXZFlfh15/s1600/Solids.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Compilation of Mathematics Problems - SOLID GEOMETRY" border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXoNPE6zftTAMV5TSjpfs_3PIcA8MLfS6q_bMc9MN6zNsWHpbDI5BSz7156r2TIsxkzs8G1-tIrmXWd3-vxcM4w-8mAbHfIO_a3nZT1yMaey8-sPt2l0vUvrebTKyk-qH7V6WCXZFlfh15/s1600/Solids.jpg" title="Compilation of Mathematics Problems - SOLID GEOMETRY" width="400" /></a></td></tr> <tr><td class="tr-caption" style="font-size: 12.8000001907349px;">Compilation of Problems in Geometry</td></tr> </tbody></table> <div style="text-align: center;"> <b>COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>SOLID MENSURATION</b></div> <br /> 1.Determine the value of each interior angle of a regular dodecagon.<br /> <br /> 2.How many sides has a polygon if the sum of the interior angles is 2520° ?<br /> <br /> 3.How many sides has polygon if the sum of its interior angles equals the sum of its exterior angles?<br /> <br /> 4.How many diagonals are there in a hexagon?<br /> <br /> 5.The area of a circle circumscribing a regular octagon is 100π. Find the area of the octagon.<br /> <br /> 6.Find the area of a pentagon whose apothem is 10 cm.<br /> <br /> 7.Determine the area of a regular 6-point star polygon if the inner regular hexagon has 10 cm side.<br /> <br /> 8.One side of a parallelogram is 10 cm and its diagonals are 16 cm and 24 cm, respectively. Find its area.<br /> <br /> 9.A piece of wire is shaped to enclose a square whose area is 169 in^2. It is then reshaped to form a rectangle whose length is 15 in. Determine the area of the rectangle.<br /> <br /> 10.A rhombus has an area of 320 cm^2. If one diagonal measures 20 cm, determine the length of each side.<br /> <br /> 11.Find the area of a circle inscribed in a rhombus whose perimeter is 100 cm and whose longer diagonal is 40 cm.<br /> <br /> 12.Find the area of an isosceles trapezoid if the measure of one angle is 135° and the lengths of the bases are 10 and 18.<br /> <br /> 13.Assuming that the earth is a sphere whose radius is 6400 km, find the distance along a 3-degree arc at the equator of the earth’s surface.<br /> <br /> 14.In a circle whose radius is 12, find the area of a minor segment whose arc has a central angle of 60° .<br /> <br /> 15.A circle with radius 6 cm has half its area removed by cutting off a border of uniform width. Find the width of the border.<br /> <br /> 16.What is the surface area of a cube whose space diagonal is 6.<br /> <br /> 17.A parallelepiped has an altitude of 20 inches. The base is a parallelogram with adjacent sides 8 inches and 12 inches and included angle 60°. Find its volume.<br /> <br /> 18.The base of a pyramid is a regular hexagon with each side equal to 6 m and an altitude of 10 m. What is the volume of water it can hold when full and inverted?<br /> <br /> 19.The lateral area of the right circular water tank is 92 sq. cm. Its volume is 342 cu. m., determine its radius.<br /> <br /> 20.Determine the volume of a right circular cone of radius 8 cm and slant height of 17 cm.<br /> <br /> 21.The frustum of a pyramid has a lower base 50 m by 10 m and an upper base of 40 m by 8 m. If the altitude of the frustum is 6 m, determine its volume.<br /> <br /> 22.Determine the total surface of an icosahedron if the length of each edge is 5 inches.<br /> <div> <br /></div>

Compilation of Mathematics Problems - SOLID GEOMETRY Set 2

Compilation of Problems in Geometry COMPILATION OF MATH PROBLEMS SOLID MENSURATION 1.Determine the value of each interior angle of ...

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MCQs / Compilation of Mathematics Problems - ANALYTIC GEOMETRY

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0vyjrc4hWgmApUugisdwFUr2Aclnyy3p1d9_Y0Z4MehJt_cAjzVnolBZZOzk__RTOdJHJukUt1WjAWGNcXHKSQomSMA88I8MRZtf5b2rXKOQLpH400MY-m7ONiiw2DuiNq7BEF4gEyK-d/s1600/HeartCurves.gif" style="margin-left: auto; margin-right: auto;"><img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0vyjrc4hWgmApUugisdwFUr2Aclnyy3p1d9_Y0Z4MehJt_cAjzVnolBZZOzk__RTOdJHJukUt1WjAWGNcXHKSQomSMA88I8MRZtf5b2rXKOQLpH400MY-m7ONiiw2DuiNq7BEF4gEyK-d/s1600/HeartCurves.gif" width="400" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilation of Problems in Analytic Geometry</td></tr> </tbody></table> <div style="text-align: center;"> <b>COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>ANALYTIC GEOMETRY</b></div> <br /> 1. Find the equation of the directrix of the parabola y^2=16x.<br /> <br /> 2. The midpoint of the line segment between P1 and P2 (-2, 4) is P (2, -1). Find P1<br /> <br /> 3. Given an ellipse: (x^2)/36 + (y^2)/32=1. Determine the distance between foci.<br /> <br /> 4. Convert the θ = π/3 to the Cartesian equation.<br /> <br /> 5. Find the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1, 3).<br /> <br /> 6. The segment from (-1, 4) to (2, -2) is extended three times its own length. Find the terminal point.<br /> <br /> 7. Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0.<br /> <br /> 8. Find the value of k for which the equation x^2+y^2+4x-2y-k=0 represents a point circle.<br /> <br /> 9. What is the diameter of a circle described by 9x2+9y2=16?<br /> <br /> 10. The major axis of the elliptical path in which the earth moves around the sun is approximately 186,000,000 miles and the eccentricity of the ellipse is 1/60. Determine the apogee of the earth.<br /> <br /> 11. Point P(x, y) moves with a distance from point (0, 1) one-half of its distance from the line y = 4. What is the equation of the locus?<br /> <br /> 12. A line passes through point (2, 2). Find the equation of the line if the length of the line segment intercepted by the coordinate axis is √5.<br /> <br /> 13. Find the area of the triangle which the line 2x – 3y + 6 = 0 forms with the coordinate axes.<br /> <br /> 14. Determine the coordinates of the point which is three-fifths of the way from the point (2, -5) to the point (-3, 5).<br /> <br /> 15. Two vertices of a triangle are (2, 4) and (-2, 3) and the area is 2 square units. Find the locus of the third vertex.<br /> <br /> 16. If the points (-2, 3), (x, y), and (-3, 5) lie on a straight line, find the equation of the line.<br /> <br /> 17. Find the inclination of the line passing through (-5, 3) and (10, 7).<br /> <br /> 18. Find the distance of the directrix from the center of an ellipse if its major axis is 10 and its minor axis is 8.<br /> <br /> 19. A point moves so that its distance from the point (2, -1) is equal to its distance from the x-axis. What is the equation of the locus?<br /> <br /> 20. The parabolic antenna has an equation of y2+8x=0. Determine the length of the latus rectum.<br /> <br /> 21. Find the equation of the ellipse with center at (4, 2), major axis horizontal and of length 8 and with minor axis of length 6.<br /> <br /> 22. Find the area of the hexagon ABCDEF formed by joining the points A(1, 4), B(0, -3), C(2, 3), D(-1, 2), E(-2, -1) and F(3, 0).<br /> <br /> 23. The directrix of a parabola is the line y = 5 and its focus is at the point (4, -3). What is the length of its latus rectum?<br /> <br /> 24. Find the eccentricity of an ellipse when the length of the latus rectum is 2/3 of the length of the major axis.<br /> <br /> 25. Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points (3, 1), (0, 0) and (8, -4).<br /> <br /> 26. A point P (x, 2) is equidistant from the points (-2, 9) and (4, -7). What is the value of x?<br /> <br /> 27. Find the equation of a line whose x-intercept is 2 and y-intercept is -2.<br /> <br /> 28. If the length of the latus rectum of an ellipse is three-fourth of the length of its minor axis, find its eccentricity.<div><a href="https://www.infinithink.org/2023/04/answer-to-analytics-geometry-problems-1-5.html" target="_blank"><span style="color: black;"><br /></span>Solutions to Problems #1-5</a><br /> <br /> To download a copy of these problems, click button below.<br /> <div class="separator" style="clear: both;"> <a href="http://adf.ly/1BiBjJ" target="_blank"><img alt="Mathematics" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimxWDZ9RNjNZYZBmq4D9zt6kSNZubHSGoaYTbsgmWfxiXY9425aFoeukOcAze_FDerVWCkP187euk0y00h6bEAm5kzmHLN-j_406zMO9XZDpA3jL0mRRkecW-lfWBTLInY82W2TfD4p0Gc/s1600/dl.png" /></a></div> </div>

MCQs / Compilation of Mathematics Problems - ANALYTIC GEOMETRY

Compilation of Problems in Analytic Geometry COMPILATION OF MATH PROBLEMS ANALYTIC GEOMETRY 1. Find the equation of the directrix o...

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MCQs / Compilation of Mathematics Problems - CALCULUS

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtCIfkRFZDR_IFn0D1HCG17DNw760f-rxiz3gKt4bzKR_1qfR1KrYZUrM3Ezi0vcyc108nUR8txFnRGq_N6nziV51dNjbHx_0isH06ftz0xMOBlHI9SvVwqkbVIj2zsZi7iUDx6HghRjBz/s1600/calculus.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="309" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtCIfkRFZDR_IFn0D1HCG17DNw760f-rxiz3gKt4bzKR_1qfR1KrYZUrM3Ezi0vcyc108nUR8txFnRGq_N6nziV51dNjbHx_0isH06ftz0xMOBlHI9SvVwqkbVIj2zsZi7iUDx6HghRjBz/s1600/calculus.png" width="320" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilation of Problems in Calculus</td></tr> </tbody></table> <div style="text-align: center;"> <b>COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>Calculus</b></div> <div> <br /></div> <div> 1.<span class="Apple-tab-span" style="white-space: pre;"> </span>What is the allowable error in measuring the edge of the cube that is intended to hold 8 cu. m. if the error of the computed volume is not to exceed 0.02 cu. m?</div> <div> <br /></div> <div> 2.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the altitude of a cylinder of maximum volume which can be inscribed in a right circular cone of radius r and height h.</div> <div> <br /></div> <div> 3.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the approximate change in the volume of a cube of side “x” inches caused by increasing its side by 1%. </div> <div> <br /></div> <div> 4.<span class="Apple-tab-span" style="white-space: pre;"> </span>Three sides of a trapezoid are each 8-cm long. How long is the fourth side when the area of the trapezoid has the greatest value? </div> <div> <br /></div> <div> 5.<span class="Apple-tab-span" style="white-space: pre;"> </span>A statue 3 m high is standing on a base of 4 m high. If an observer’s eye is 1.5 m above the ground, how far should he stand from the base in order that the angle subtended by the statue is a maximum.</div> <div> <br /></div> <div> 6.<span class="Apple-tab-span" style="white-space: pre;"> </span>A balloon is rising vertically over a point A on the ground at the rate of 15 ft/sec. A point B on the ground level with and 30 ft from A. When the balloon is 40 ft from A, at what rate is its distance from B changing? </div> <div> <br /></div> <div> 7.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the point in the parabola y^2=4x at which the rate of change of the ordinate and abscissa are equal. </div> <div> <br /></div> <div> 8.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the slope ofx^2+ y=8 at the point (2, 2).</div> <div> <br /></div> <div> 9.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the equation of the normal to x^2+y^2=1 at the point (2, 1). </div> <div> <br /></div> <div> 10.<span class="Apple-tab-span" style="white-space: pre;"> </span>The depth of water in a cylindrical tank 4 m in diameter is increasing at the rate of 0.70 m/min. Find the rate at which the water is flowing into the tank.</div> <div> <br /></div> <div> 11.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the coordinates of the vertex of the parabola y=x^2-4x+1 if the slope of the tangent at the vertex is zero.</div> <div> <br /></div> <div> 12.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the minimum distance from the point (4, 2) to the parabola y^2=8x.</div> <div> <br /></div> <div> 13.<span class="Apple-tab-span" style="white-space: pre;"> </span>Two posts, one 8 m and the other 12 m high are 15 cm apart. If the posts are supported by a cable running from the top of the first post to a stake on the ground and then back to the top of the second post, find the distance from the lower post to the stake to use minimum amount of wire? </div> <div> <br /></div> <div> 14.<span class="Apple-tab-span" style="white-space: pre;"> </span>What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 10? </div> <div> <br /></div> <div> 15.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the approximate increase in the volume of the sphere if the radius increases from 2 to 2.05 in one second.</div> <div> <br /></div> <div> 16.<span class="Apple-tab-span" style="white-space: pre;"> </span>Differentiate: ln(ln y) + ln y = ln x</div> <div> <br /></div> <div> 17.<span class="Apple-tab-span" style="white-space: pre;"> </span>The volume of the sphere is increasing at the rate of 6 cm^3/hr. At what rate is its surface area increasing when the radius is 50 cm? </div> <div> <br /></div> <div> 18.<span class="Apple-tab-span" style="white-space: pre;"> </span>If the sum of two numbers is 4, find the minimum value of the sum of their cubes. </div> <div> <br /></div> <div> 19.<span class="Apple-tab-span" style="white-space: pre;"> </span>Water is running out a conical funnel at the rate of 1 cu. inch per second. If the radius of the base of the funnel is 4 inches and the altitude is 8 inches, find the rate at which the water level is dropping when it is 2 inches from the top. </div> <div> <br /></div> <div> 20.<span class="Apple-tab-span" style="white-space: pre;"> </span>Divide the number 120 into two parts such that the product of one and the square of the other is a maximum.</div> <div> <br /></div> <div> 21.<span class="Apple-tab-span" style="white-space: pre;"> </span>If y = 2x + sin 2x, find x if y’ = 0. </div> <div> <br /></div> <div> 22.<span class="Apple-tab-span" style="white-space: pre;"> </span>What is the equation of the tangent to the curve y=x+5/x at the point (1, 3)?</div> <div> <br /></div> <div> 23.<span class="Apple-tab-span" style="white-space: pre;"> </span>If y=arc tan(ln(x)), find y’ at x = 1/e. </div> <div> <br /></div> <div> 24.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the change in y = 2x – 3 if x changes from 3.3 to 3.5.</div> <div> <br /></div> <div> 25.<span class="Apple-tab-span" style="white-space: pre;"> </span>The radius of a sphere is r inches at time t seconds. Find the radius when the rates of increase of the surface area and the radius are numerically equal. </div> <div> <br /></div> <div> 26.<span class="Apple-tab-span" style="white-space: pre;"> </span>Using the two existing corner sides of an existing wall, what is the maximum rectangular area that can be fenced by a fencing material 30 ft. long?</div> <div> <br /></div> <div> 27.<span class="Apple-tab-span" style="white-space: pre;"> </span>A man on a wharf 3.6 m above sea level is pulling a rope tied to a raft at 0.60 m/sec. How fast is the raft approaching the wharf when there are 6 m of rope out? </div> <div> <br /></div> <div> 28.<span class="Apple-tab-span" style="white-space: pre;"> </span>The sum of four positive integers is 32. Find the greatest possible product of these four numbers.</div> <div> <br /></div> <div> 29.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the maximum point of y=x+1/x.</div> <div> <br /></div> <div> 30.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the height of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius 10 cm.</div> <div> <br /></div> <div> 31.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the area bounded by the curve defined by the equation x^2=8y and its latus rectum. </div> <div> <br /></div> <div> 32.<span class="Apple-tab-span" style="white-space: pre;"> </span>Evaluate: The integral of (cos^8 3A dA) from 0 to pi/6.</div> <div> <br /></div> <div> 33.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the area bounded by the parabolas x^2-2y=0 and x^2+2y-8=0. </div> <div> <br /></div> <div> 34.<span class="Apple-tab-span" style="white-space: pre;"> </span>Evaluate: The integral of (√(1-cos⁡x ) dx)</div> <div> <br /></div> <div> 35.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the area bounded by the curve y=9-x^2  and the x-axis. </div> <div> <br /></div> <div> 36.<span class="Apple-tab-span" style="white-space: pre;"> </span>Evaluate: The integral of 3x/ex dx from 0 to 1.</div> <div> <br /></div> <div> 37.<span class="Apple-tab-span" style="white-space: pre;"> </span>Evaluate: The integral of tan2x dx</div> <div> <br /></div> <div> 38.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the value of (1 + i)^5. </div> <div> <br /></div> <div> 39.<span class="Apple-tab-span" style="white-space: pre;"> </span>Simplify the expression: i^1997  + i^1999.</div> <div> <br /></div> <div> 40.<span class="Apple-tab-span" style="white-space: pre;"> </span>What is the quotient when 4 + 8i is divided by i^3? </div> <div> <br /></div> <div> 41.<span class="Apple-tab-span" style="white-space: pre;"> </span>If (x+yi)(2-4i)=14-8i, find x. </div> <div> <br /></div> <div> 42.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the angle between the planes 3x – y + z – 5 = 0 and x + 2y + 2z + 2 = 0 </div> <div> <br /></div> <div> 43.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the area of the geometric figure whose vertices are at (3, 0, 0), (3, 3, 0), (0, 0, 4) and (0, 3, 4). </div> <div> <br /></div> <div> 44.<span class="Apple-tab-span" style="white-space: pre;"> </span>Find the length of the vector (2, 4, 4). </div> <br /> <br /> <div> To download a copy of these problems, click button below.<br /> <div class="separator" style="clear: both;"> <a href="http://adf.ly/1BiC0D" target="_blank"><img alt=" Mathematics" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimxWDZ9RNjNZYZBmq4D9zt6kSNZubHSGoaYTbsgmWfxiXY9425aFoeukOcAze_FDerVWCkP187euk0y00h6bEAm5kzmHLN-j_406zMO9XZDpA3jL0mRRkecW-lfWBTLInY82W2TfD4p0Gc/s1600/dl.png" /></a></div> </div>

MCQs / Compilation of Mathematics Problems - CALCULUS

Compilation of Problems in Calculus COMPILATION OF MATH PROBLEMS Calculus 1. What is the allowable error in measuring the edge o...

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MCQs / Compilation of Mathematics Problems - SOLID GEOMETRY

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXoNPE6zftTAMV5TSjpfs_3PIcA8MLfS6q_bMc9MN6zNsWHpbDI5BSz7156r2TIsxkzs8G1-tIrmXWd3-vxcM4w-8mAbHfIO_a3nZT1yMaey8-sPt2l0vUvrebTKyk-qH7V6WCXZFlfh15/s1600/Solids.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXoNPE6zftTAMV5TSjpfs_3PIcA8MLfS6q_bMc9MN6zNsWHpbDI5BSz7156r2TIsxkzs8G1-tIrmXWd3-vxcM4w-8mAbHfIO_a3nZT1yMaey8-sPt2l0vUvrebTKyk-qH7V6WCXZFlfh15/s1600/Solids.jpg" width="400" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilation of Problems in Solid Mensuration</td></tr> </tbody></table> <div style="text-align: center;"> <b>MULTIPLE CHOICE QUESTIONS / COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>SOLID MENSURATION</b></div> <br /> 1. The sum of the interior angles of a polygon is 540°. Find the number of sides.<br /> <br /> 2. A regular octagon is inscribed in a circle of radius 10. Find the area of the octagon.<br /> <br /> 3. The volume of a sphere is 36π cu. m. What is its surface area?<br /> <br /> 4. One side of a regular octagon is 2. Find the area of the region inside the octagon.<br /> <br /> 5. The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12 and 14 units. What is the area of the largest circle?<br /> <br /> 6. If the sides of a parallelogram and an included angle are 6, 10 and 100° respectively, find the length of the shorter diagonal.<br /> <br /> 7. A trapezoid has an area of 36 m^2 and an altitude of 2 m. Its two bases have ratio of 4:5. What are the lengths of the bases?<br /> <br /> 8. The sides of a right triangle are 8, 15 and 17 units. If each side is doubled, how many square units will the area of the new triangle?<br /> <br /> 9. Find the measure of each interior angle in degrees of a regular dodecagon.<br /> <br /> 10. If an equilateral triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle.<br /> <br /> 11. A metal washer 1-inch in diameter is pierced by 1/2 inch hole. What is the volume of the washer if it is 1/8 inch thick?<br /> <br /> 12. What polygon has 27 diagonals?<br /> <br /> 13. The volume of the two spheres is in the ratio 27:343 and the sum of their radii is 10. Find the radius of the smaller sphere.<br /> <br /> 14. A regular hexagonal pyramid has a slant height of 4 cm and the length of each side of the base is 6 cm. Find the lateral area.<br /> <br /> 15. What is the area of an isosceles right triangle if its perimeter is 6.6824?<br /> <br /> 16. What is the distance in cm between two vertices of a cube which are farthest from each other, if an edge measures 8 cm?<br /> <br /> 17. The area of the rhombus is 132 sq. m. If its shorter diagonal is 12 m, find the longer diagonal.<br /> <br /> 18. One of the diagonals of a rhombus is 25 units and its area is 75 u^2. Determine the length of the sides.<br /> <br /> 19. Find the area of a parabola having a span of 30 m and a height of 20 m.<br /> <br /> 20. A regular dodecagon is inscribed in a circle of radius 24. Find the perimeter of the dodecagon.<br /> <br /> 21. The lateral area of the right circular water tank is 92 cm^2 and its volume is 342 m^3. Determine its radius.<br /> <br /> 22. A cone and a cylinder have the same height and the same volume. Find the ratio of the radius of the cone to the radius of the cylinder.<br /> <br /> 23. It is desired that the volume of the sphere be tripled. By how many times will the radius be increased?<br /> <br /> 24. What is the area of a parabola with a base of 15 cm and a height of 20 cm? The circumference of a great circle of a sphere is 18π. Find the volume of the sphere<br /> <div> <br /></div> <div> <br /></div> <div> To download a copy of these problems, click button below.<br /> <div class="separator" style="clear: both;"> <a href="http://adf.ly/1BiCF5" target="_blank"><img alt=" Mathematics" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimxWDZ9RNjNZYZBmq4D9zt6kSNZubHSGoaYTbsgmWfxiXY9425aFoeukOcAze_FDerVWCkP187euk0y00h6bEAm5kzmHLN-j_406zMO9XZDpA3jL0mRRkecW-lfWBTLInY82W2TfD4p0Gc/s1600/dl.png" /></a></div> </div>

MCQs / Compilation of Mathematics Problems - SOLID GEOMETRY

Compilation of Problems in Solid Mensuration MULTIPLE CHOICE QUESTIONS / COMPILATION OF MATH PROBLEMS SOLID MENSURATION 1. The sum ...

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MCQs / Compilation of Mathematics Problems - TRIGONOMETRY

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCd-e1paC-3YcDbqvj2F9K9VBD2aE729_YLaKb8QlnAC65XbY1M5zOZ-jaKpM0z-X4OCqUNI2bDn49uzCM70cvZnMoQUyAX6JJtiW3lbR_nlDnS8MYe4gpeF8Lsk9etKFcsrYZ2GrbbXHV/s1600/trigonometry1.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="265" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCd-e1paC-3YcDbqvj2F9K9VBD2aE729_YLaKb8QlnAC65XbY1M5zOZ-jaKpM0z-X4OCqUNI2bDn49uzCM70cvZnMoQUyAX6JJtiW3lbR_nlDnS8MYe4gpeF8Lsk9etKFcsrYZ2GrbbXHV/s1600/trigonometry1.jpg" width="400" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilation of Problems in Trigonometry</td></tr> </tbody></table> <br /> <b>MULTIPLE CHOICE QUESTIONS / COMPILATION OF MATH PROBLEMS</b><br /> <b>TRIGONOMETRY</b><br /> <br /> 1. If sin A = 3/5 and A is in quadrant II while cos B = 7/25 and B is in quadrant I, find sin (A + B).<br /> <br /> 2. Solve for x in the equation: Arctan 2x + Arctan x = (π/2) - 45°.<br /> <br /> 3. If 84° - 0.4x = Arctan(cot0.25x). Find x.<br /> <br /> 4. Simplify: 4cosy siny (1 - 2sin2y)<br /> <br /> 5. Evaluate: cos [arctan 15/8 - arctan 7/24].<br /> <br /> 6. What is the measure in degrees of 2.25 revolutions counterclockwise?<br /> <br /> 7. Find the value of x in the equation cscx + cotx = 3.<br /> <br /> 8. If sec2A = 5/2, what is the quantity 1 - sin2A?<br /> <br /> 9. Of what quadrant is A, if sec A is positive and cscA is negative?<br /> <br /> 10. The angle of a sector is 30° and the radius is 15 cm. What is the area of the sector?<br /> <br /> 11. A man finds the angle of elevation of the top of the tower to be 30°. He walks 85 m nearer the tower and finds its angle of elevation to be 60°. What is the height of the tower?<br /> <br /> 12. Evaluate: Arctan[2 cos (arc sin(√3/2)]<br /> <br /> 13. Points A and B are 1000 m apart are plotted on a straight highway running east and west. From A, the bearing of tower C is N32°W and from B the bearing of C is N26°E. Approximate the shortest distance of the tower from the highway.<br /> <br /> 14. A rotating wheel has a radius of 2 feet and 6 inches. A point on the rim of the wheel moves 30 feet in 2 sec. Find the angular velocity of the wheel.<br /> <br /> 15. Solve for A:cos2A = 1 - cos2A<br /> <br /> 16. Evaluate:sin (270° - A)<br /> <br /> 17. If sec2 A = 5/2, find 1 – sin2A.<br /> <br /> 18. Simplify: (cosA)^4 - (sinA)^4<br /> <br /> 19. Assuming that the earth is a sphere whose radius is 6400 km. Find the distance along a 3°arc at the equator of the earth’s surface.<br /> <br /> 20. A central angle of 45° subtends an arc of 12 cm. What is the radius of the circle?<br /> <br /> 21. If tan 4A = cot 6A, then what is the value of angle A?<br /> <br /> 22. A railroad is to be laid-off in a circular path. What should be the radius if the track is to change direction by 30° at a distance of 157.08 m?<br /> <br /> 23. Solve for x: arctan x + arctan (1/3) = π/4.<br /> <br /> 24. You are given one coin with 5-cm diameter and a large supply of coins with diameter of 2 cm. What is the maximum number of the smaller coins that may be arranged tangentially around the larger without any overlap?<br /> <br /> 25. Determine the period of the curve y = sin (1/2) x.<br /> <br /> 26. Given: x = (cosB tanB – sinB)/cosB. Solve for x if B = 30°.<br /> <br /> 27. A flywheel of radius 14 inches is rotating at the rate of 1000 rpm. How fast does a point on the rim travels in ft/sec?<br /> <br /> 28. Solve angle A of an oblique triangle with vertices ABC, if a = 25, b = 16 and C = 94°6´.<br /> <br /> 29. If sin A = 2.5x and cos A = 5.5x, find the value of A.<br /> <br /> 30. Triangle ABC is a right triangle with right angle at C. CD is perpendicular to AB. BC = 4 and CD = 1. Find the area of the triangle ABC.<br /> <br /> 31. A ladder 5 m long leans against the wall of an apartment house forming an angle of 50° 32´with the ground. How high up the wall does it reach?<br /> <br /> 32. If cot 2Acot 68° = 1, then what is tan A?<br /> <br /> 33. Simplify the expression: sinB + cosB tanB/cosB.<br /> <br /> 34. If A is in the III quadrant and cos A = -15/17, find the value of cos (A/2).<br /> <br /> <br /> To download a copy of these problems, click button below.<br /> <div class="separator" style="clear: both;"> <a href="http://adf.ly/1BiCW9" target="_blank"><img alt=" Mathematics" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimxWDZ9RNjNZYZBmq4D9zt6kSNZubHSGoaYTbsgmWfxiXY9425aFoeukOcAze_FDerVWCkP187euk0y00h6bEAm5kzmHLN-j_406zMO9XZDpA3jL0mRRkecW-lfWBTLInY82W2TfD4p0Gc/s1600/dl.png" /></a></div>

MCQs / Compilation of Mathematics Problems - TRIGONOMETRY

Compilation of Problems in Trigonometry MULTIPLE CHOICE QUESTIONS / COMPILATION OF MATH PROBLEMS TRIGONOMETRY 1. If sin A = 3/5 and ...

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MCQs / Compilation of Mathematics Problems - ALGEBRA

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJVhQCKjO7D8tMy-MLNsMqn2gNHvGQqgHAQdlm9EzLWFpdh49PN7imYOZtLGvETp5VDoQ458Wnm5WijtyRC4RYTIUgboD5VROutk29ODsNLxwF84VkjpAqhjZTOYTJadR4oTKtsb8jtdzP/s1600/algebra1.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="336" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJVhQCKjO7D8tMy-MLNsMqn2gNHvGQqgHAQdlm9EzLWFpdh49PN7imYOZtLGvETp5VDoQ458Wnm5WijtyRC4RYTIUgboD5VROutk29ODsNLxwF84VkjpAqhjZTOYTJadR4oTKtsb8jtdzP/s1600/algebra1.jpg" width="400" /></a></td></tr> <tr><td class="tr-caption" style="text-align: center;">Compilations of Problems in Algebra</td></tr> </tbody></table> <div style="text-align: center;"> <b>COMPILATION OF MATH PROBLEMS</b></div> <div style="text-align: center;"> <b>ALGEBRA</b></div> <br /> 1. Ten less than four times a certain number is 14. Determine the number.<br /> <br /> 2. The hypotenuse of a right triangle is 34 cm. Find the length of the two legs if one leg is 14 cm longer than the other.<br /> <br /> 3. Find the equation whose roots are the reciprocals of the roots of the equation 2x^2 - 3x – 5 = 0.<br /> <br /> 4. The sum of two numbers is 21 and one number is twice the other. Find the numbers.<br /> <br /> 5. For a particular experiment, you need 5 liters of a 10% solution. You find 7% and 12% solution on the shelves. How much of the 7% solution should you mix with the appropriate amount of the 12% solution to get 5 liters of a 10% solution.<br /> <br /> 6. A circle with a radius of 6 has half of its area removed by a cutting border of uniform width. Find the width of the border.<br /> <br /> 7. Two triangles have equal bases. The altitude of one triangle is 3 units more than its base while the altitude of the other is 3 units less than its base. Find the altitudes if the areas of the triangle differ by 21 square units.<br /> <br /> 8. The roots of the quadratic equation are 1/3 and 1/4. What is the equation?<br /> <br /> 9. Find the 30th term of the progression 4, 7, 10, …<br /> <br /> 10. The denominator of a certain fraction is three more than twice the numerator. If 7 is added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.<br /> <br /> 11. A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to enclose a rectangle whose length is 15 cm. Find the area of the rectangle.<br /> <br /> 12. Find the sum of 6, -2, 2/3, …<br /> <br /> 13. In the expansion of (x+4y)^12, find the numerical coefficient of the 5th term.<br /> <br /> 14. Find the sum of the first 10 terms of the progression 2, 4, 8, 16, …<br /> <br /> 15. Find the ratio of an infinite geometric progression if the sum is 2 and the first term is 1/2.<br /> <br /> 16. Find the 30th term of the sequence 4, 7, 10, …<br /> <br /> 17. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream should he go if he is to return in 7/4 hours after leaving?<br /> <br /> 18. Find the mean proportional of 4 and 36.<br /> <br /> 19. Mary is 24 years old. Mary is twice as old as Ana was when Mary was as old as Ana is now. How old is Ana now?<br /> <br /> 20. Determine x so that x, 2x+7, 10x–7 will be a geometric sequence.<br /> <br /> 21. Mike, Louis and Joy can mow the lawn in 4, 6 and 7 hours, respectively. What fraction of the yard can they mow in 1 hour if they work together?<br /> <br /> 22. Given: (x) = (x+3) (x–4) + 4. When f(x) is divided by (x–k), the remainder is k. Find k.<br /> <br /> 23. The sum of the digits of a two-digit number is 11. If the digits are reversed, the resulting number is seven more than twice the original number. What is the original number?<br /> <br /> 24. The time required for the examinees to solve the same problem differ by two minutes. Together, they can solve 32 problems in one hour. How long will it take for the slower problem solver to solve a problem?<br /> <br /> 25. Find the sum of the roots of 5x^2 - 10x + 2 = 0.<br /> <br /> 26. In a box there are 25 coins consisting of quarters, nickels and dimes with a total amount of $2.75. If the nickels were dimes, the dimes were quarters and the quarters were nickels, the total amount would be $3.75. How many quarters are there?<br /> <br /> 27. A man travels in a motorized banca at the rate of 15 kph from his barrio to the poblacion and come back to his barrio at the rate of 12 kph. If his total time of travel back and forth is 3 hours, find the distance from the barrio to the poblacion.<br /> <br /> 28. One leg of a right triangle is 20 cm and the hypotenuse is 10 cm longer than the other leg. Find the length of the hypotenuse.<br /> <br /> 29. Three times the sine of a certain angle is twice of the square of the cosine of the same angle. Find the angle.<br /> <br /> 30. A man is 41 years old and his son is 9. In how many years will the father be three times as old as his son?<br /> <br /> 31. A tank is filled with an intake pipe that fills it in 2 hours and an outlet pipe that empty it in 6 hours. If both pipes are left open, how long will it take to fill the empty tank?<br /> <br /> 32. A piece of wire of length 50 m is cut into two parts. Each part is then bent to form a square. It is found that the total area of the square is 100 m^2. Find the difference in length of the sides of the two squares.<br /> <br /> 33. A purse contains $11.65 in quarters and dimes. If the total number of coins is 70, find how many dimes are there?<br /> <br /> 34. How many liters of water must be added to 35 liters of 89% HCl solution to reduce its strength to 75%?<br /> <br /> 35. Find the value of m that will make 4x^2 - 4mx + 4m + 5 a perfect square trinomial.<br /> <br /> 36. Ana is 5 yrs. older than Beth. In 5 yrs., the product of their ages is 1.5 times the product of their present ages. How old is Beth now?<br /> <br /> 37. Find the coefficient of the term involving b^4 in the expansion of (a^2 - b^2)^10.<br /> <br /> 38. The seating section in a Coliseum has 30 seats in the first row, 32 seats in the second row, 34 seats in the third row, and so on, until the tenth row is reached, after which there are ten rows each containing 50 seats. Find the total number of seats in the section.<br /> <br /> 39. Pedro started running at a speed of 10 kph. Five minutes later, Mario started running in the same direction and catches up with Pedro in 20 minutes. What is the speed of Mario?<br /> <br /> 40. The sum of two numbers is 35 and their product is 15. Find the sum of their reciprocals.<br /> <br /> 41. The ten’s digit of a certain two digit number exceeds the unit’s digit by four and is one less than twice the unit’s digit. Find the number.<br /> <br /> 42. One pipe can fill a tank in 6 hours and another pipe can fill the same tank in 3 hours. A drain pipe can empty the tank in 24 hours. With all three pipes open, how long will it take to fill in the tank?<br /> <br /> 43. A piece of paper is 0.05 inch thick. Each time the paper is folded into half, the thickness is doubled. If the paper was folded twelve times, how thick in feet the folded paper be?<br /> <br /> 44. A man invested part of Php 20,000 at 18% and the rest at 16%. The annual income from 16% investment was Php 620 less than three times the annual income from 18% investment. How much did he invest at 18%?<br /> <br /> 45. If 3^x=9^y  and 27^y=81^z, find x/z.<br /> <br /> 46. It takes an airplane one hour and forty five minutes to travel 500 miles against the wind and covers the same distance in one hour and fifteen minutes with the wind. What is the speed of the airplane?<br /> <br /> 47. An airplane travels from points A and B with a distance of 1500 kms and a wind along its flight line. If it takes the airplane 2 hours from A to B with the tailwind and 2.5 hours from B to A with the headwind, what is the velocity?<br /> <br /> <br /> To download a copy of these problems, click button below.<br /> <div class="separator" style="clear: both; text-align: left;"> <a href="http://adf.ly/1BiBX4" target="_blank"><img alt=" Mathematics" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimxWDZ9RNjNZYZBmq4D9zt6kSNZubHSGoaYTbsgmWfxiXY9425aFoeukOcAze_FDerVWCkP187euk0y00h6bEAm5kzmHLN-j_406zMO9XZDpA3jL0mRRkecW-lfWBTLInY82W2TfD4p0Gc/s1600/dl.png" /></a></div>

MCQs / Compilation of Mathematics Problems - ALGEBRA

Compilations of Problems in Algebra COMPILATION OF MATH PROBLEMS ALGEBRA 1. Ten less than four times a certain number is 14. Determ...

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General / Natural Science Quiz

<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td style="text-align: center;"><img alt="Test Questions for Natural Science" border="0" height="247" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCHoJ57LyEFBhY0XBemtyS9rBTQgIBp8lZupTmlQ7wg4Os1e6obqbB_BunjBFL6SWf9NeakmkDWqgkRAD4M82MEzlhW28V1q0AeMfB6RzhF5YI3_HL1DSxh26EB3Z-ZqA5Ijs724EWyCis/s1600/Infinity.JPG" style="margin-left: auto; margin-right: auto;" title="Test Questions for Natural Science" width="400" /></td></tr> <tr><td class="tr-caption" style="text-align: center;">Test Questions - Natural Science</td></tr> </tbody></table> <b>NATURAL SCIENCE TEST QUESTIONS</b><br /> <br /> <i><b>WATER QUIZ</b></i><br /> <br /> 1. True or false? Sound travels faster through water than air?<br /> <br /> 2. Water is made up of what two elements?<br /> <br /> 3. What is another name for a tidal wave?<br /> <br /> 4. True or false? The Indian Ocean is the biggest ocean on Earth.<br /> <br /> 5. The solid state of water is known as what?<br /> <br /> 6. Can the average human survive without water for a few days or a few weeks?<br /> <br /> 7. True or false? Pure water is tasteless.<br /> <br /> 8. Nimbus, cumulus and stratus are types of what?<br /> <br /> 9. True or false? Water is an example of a chemical element.<br /> <br /> 10. Does water cover more or less than 50% of the Earth’s surface?<br /> <br /> 11. True or false? Water boils at 100 degrees Celsius (212 degrees Fahrenheit).<br /> <br /> 12. When water is cooled, does it contract or expand?<br /> <br /> 13. Water freezes at what temperature?<br /> <br /> 14. True or false? Water is easy to compress.<br /> <br /> 15. What is the chemical formula of water?<br /> <br /> 16. The deepest point in all of the world’s oceans is named what?<br /> <br /> 17. True or false? The consumption of bottled water has risen significantly over the last few decades.<br /> <br /> 18. Pure water has a pH level of a around what number?<br /> <br /> 19. What is the longest river on Earth?<br /> <br /> 20. True or false? Ice sinks in water.<br /> <br /> <i><b>STATE OF MATTER QUIZ</b></i><br /> <br /> 1. When a solid changes to a liquid it is called what?<br /> <br /> 2. True or false? Liquids are easy to compress.<br /> <br /> 3. When a gas changes into a liquid it is called what?<br /> <br /> 4. True or false? The particles of a gas are packed tightly together.<br /> <br /> 5. When solids reach their melting points they become what?<br /> <br /> 6. True or false? Plasma is a state of matter.<br /> <br /> 7. When a gas reaches its condensation point it becomes a what?<br /> <br /> 8. True or false? Solids do not take the shape of the container they are in.<br /> <br /> 9. What is it called when a solid changes directly into a gas?<br /> <br /> 10. True or false? Gases are hard to compress.<br /> <br /> <i><b>BIOLOGY QUIZ</b></i><br /> <br /> 1. Which famous scientist introduced the idea of natural selection?<br /> <br /> 2. A person who studies biology is known as a?<br /> <br /> 3. Botany is the study of?<br /> <br /> 4. Can frogs live in salt water?<br /> <br /> 5. True or false? The common cold is caused by a virus.<br /> <br /> 6. Animals which eat both plants and other animals are known as what?<br /> <br /> 7. Bacterial infections in humans can be treated with what?<br /> <br /> 8. A single piece of coiled DNA is known as a?<br /> <br /> 9. A group of dog offspring is known as a?<br /> <br /> 10. The area of biology devoted to the study of fungi is known as?<br /> <br /> 11. What is the name of the process used by plants to convert sunlight into food?<br /> <br /> 12. The death of every member of a particular species is known as what?<br /> <br /> 13. The process of pasteurization is named after which famous French microbiologist?<br /> <br /> 14. True or false? A salamander is a warm blooded animal?<br /> <br /> 15. A change of the DNA in an organism that results in a new trait is known as a?<br /> <br /> <i><b>ELECTRICITY QUIZ</b></i><br /> <br /> 1. Electric current is measured using what device?<br /> <br /> 2. True or false? Batteries convert chemical to electrical energy.<br /> <br /> 3. In terms of electricity, what does DC stand for?<br /> <br /> 4. The wire inside an electric bulb is known as the what?<br /> <br /> 5. Conductors have a high or low resistance?<br /> <br /> 6. True or false? The concept of electric fields was first introduced by Albert Einstein.<br /> <br /> 7. Electric resistance is typically measured in what units?<br /> <br /> 8. In terms of electricity, what does AC stand for?<br /> <br /> 9. Electric power is typically measured in what units?<br /> <br /> 10. True or false? You can extend battery life by storing batteries at a low temperature.<br /> <br /> <br /> Note: Hover your pointer/cursor on the dark area below to reveal answers.<br /> <div class="postspoiler"> <br /> ANSWERS: NATURAL SCIENCE QUIZ<br /> <br /> 1. True     2. Hydrogen and oxygen     3. Tsunami     4. False - Pacific Ocean     5. Ice<br /> 6. A few days     7. True     8. Clouds     9. False     10. More - Around 70%<br /> 11. True     12. Expand     13. 0°C (32°F)     14. False     15. H20<br /> 16. Mariana Trench     17. True     18. 7     19. The Nile River     20. False - It floats<br /> <br /> 1. Melting     2. False     3. Condensation     4. False     5. Liquids<br /> 6. True     7. Liquid     8. True     9. Sublimation     10. False<br /> <br /> 1. Charles Darwin     2. Biologist     3. Plants     4. No     5. True<br /> 6. Omnivores     7. Antibiotics     8. Chromosome     9. Litter     10. Mycology<br /> 11. Photosynthesis     12. Extinction     13. Louis Pasteur     14. False     15. Mutation<br /> <br /> 1. Ammeter     2. True     3. Direct current     4. Filament     5. Low<br /> 6. False (Michael Faraday)     7. Ohms     8. Alternating current     9. Watts     10. True<br /> <br /></div>

General / Natural Science Quiz

Test Questions - Natural Science NATURAL SCIENCE TEST QUESTIONS WATER QUIZ 1. True or false? Sound travels faster through water than...

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MCQs / Compilation of Physics Problems Part 7

<h1 style="font-size: 20px; text-align: center;"> </h1> <table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="MCQs / Compilation of Physics Problems" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" title="MCQs / Compilation of Physics Problems" /></a></td></tr> <tr><td class="tr-caption" style="font-size: 12.8000001907349px;">MCQs / Compilation of Physics Problems</td></tr> </tbody></table> <b>PRACTICE TEST IN PHYSICS SET</b><b> 7</b><br /> <br /> 1.<span class="Apple-tab-span" style="white-space: pre;"> </span>A current of 5 A passes along a wire of length 1.0 m. the wire is at right angles to a magnetic field of flux density of 0.15 T. The force acting on the wire is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>0.03 N<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>0.75 N<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>33 N<br /> <br /> 2.<span class="Apple-tab-span" style="white-space: pre;"> </span>The end product of most radioactive decay series is usually some form of<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>carbon<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>helium<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>hydrogen<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>lead<br /> <br /> 3.<span class="Apple-tab-span" style="white-space: pre;"> </span>The cause of surface tension is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>adhesive forces<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>cohesive forces<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>external forces<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>gravitational force<br /> <br /> 4.<span class="Apple-tab-span" style="white-space: pre;"> </span>The unit 'poise' is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne.sec/cm2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne.cm/sec2<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>newton.sec/m2<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne.sec/cm<br /> <br /> 5.<span class="Apple-tab-span" style="white-space: pre;"> </span>Emission line spectrum will be obtained from...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>candle flame<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>sodium lamp<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Sun<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>white hot filament of an electric bulb<br /> <br /> 6.<span class="Apple-tab-span" style="white-space: pre;"> </span>A hollow insulated brass sphere is positively charged. The electric potential inside the sphere is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>zero<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>greater than the potential at the surface<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>smaller than the potential at the surface<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>the same as that on the surface<br /> <br /> 7.<span class="Apple-tab-span" style="white-space: pre;"> </span>The linear momentum of a body is P = a + (bt2/2). The force acting on the body is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>a + (bt/2)<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>a + bt<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>bt/2<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>bt<br /> <br /> 8.<span class="Apple-tab-span" style="white-space: pre;"> </span>The weight of a body on the surface of earth is 100 N. Its weight at a depth half way to the centre of earth will be...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>50 N<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>100 N<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>25 N<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>125 N<br /> <br /> 9.<span class="Apple-tab-span" style="white-space: pre;"> </span>Two wires C and D of the length in the ratio 2 : 3, diameter in the ratio 2 : 3 and of the same material, are subjected to same force. Then the ratio of their extentions lc : ld is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 : 2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>2 : 3<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>4 : 9<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>8 : 27<br /> <br /> 10.<span class="Apple-tab-span" style="white-space: pre;"> </span>The potential energy of a harmonic oscillator is maximum when the displacement is equal to...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>zero<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>1/2 amplitude<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>amplitude<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>1/4 amplitude<br /> <br /> 11.<span class="Apple-tab-span" style="white-space: pre;"> </span>When the forces acting on a body are in equilibrium, its...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>velocity is zero<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>displacement is zero<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>acceleration is zero<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>momentum is zero<br /> <br /> 12.<span class="Apple-tab-span" style="white-space: pre;"> </span>An object at rest may possess...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>velocity<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>momentum<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>kinetic energy<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>potential energy<br /> <br /> 13.<span class="Apple-tab-span" style="white-space: pre;"> </span>A nonconservative force does not give rise to...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>thermal energy<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>kinetic energy<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>light energy<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>potential energy<br /> <br /> 14.<span class="Apple-tab-span" style="white-space: pre;"> </span>Atoms forming a molecule attain the arrangement in which they obtain...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>zero potential energy<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>minimum potential energy<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>maximum potential energy<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above<br /> <br /> 15.<span class="Apple-tab-span" style="white-space: pre;"> </span>Bulk modulus of a liquid is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>higher than that for a solid<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>higher than that for a gas<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>lower than that for a gas<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>zero<br /> <br /> 16.<span class="Apple-tab-span" style="white-space: pre;"> </span>The CGS unit of coefficient of viscosity is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne.second/cm2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>newton.second/cm2<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne.(second)2/cm2<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>newton.second/cm<br /> <br /> 17.<span class="Apple-tab-span" style="white-space: pre;"> </span>The volume of a gas sample is directly proportional to its...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>Fahrenheit temperature<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>Celsius temperature<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Kelvin temperature<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>pressure<br /> <br /> 18.<span class="Apple-tab-span" style="white-space: pre;"> </span>The approximate relationship between the coefficient of linear expansion(α) and the coefficient of cubical expansion(γ) is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>γ = α2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>γ = α3<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>α = 3 γ<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>γ = 3 α<br /> <br /> 19.<span class="Apple-tab-span" style="white-space: pre;"> </span>When capacitors are in parallel...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>they are all at the same potential<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>they are at different potentials<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>their capacitances are equal<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>the equivalent capacitance is zero<br /> <br /> 20.<span class="Apple-tab-span" style="white-space: pre;"> </span>The earth's magnetic field at sea level is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 x 10-9 T<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 x 109 T<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 x 10-5 T<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 x 105 T<br /> <br /> 21.<span class="Apple-tab-span" style="white-space: pre;"> </span>Monoatomic gases give...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>line spectra<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>band spectra<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>continuous spectra<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>line and band spectra<br /> <br /> 22.<span class="Apple-tab-span" style="white-space: pre;"> </span>The centre of mass of a rigid body...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>lies inside the body<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>lies outside the body<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>can be inside or outside of the body<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>may not exist<br /> <br /> 23.<span class="Apple-tab-span" style="white-space: pre;"> </span>If 'l' is the length of a simple pendulum and 'T' its period, then 'g' is given by...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>(4π2l)/T2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>2π/(√ l/t)<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>2πl/t<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>(4πl2)/t2<br /> <br /> 24.<span class="Apple-tab-span" style="white-space: pre;"> </span>The rate at which an object radiates electromagnetic energy does not depend on its...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>surface area<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>mass<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>temperature<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>ability to absorb radiation<br /> <br /> 25.<span class="Apple-tab-span" style="white-space: pre;"> </span>Which of the following is neither a basic physical law nor derivable from one?<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>Coulomb's law<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>Ohm's law<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Kirchhoff's first law<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>Kirchhoff's second law<br /> <br /> 26.<span class="Apple-tab-span" style="white-space: pre;"> </span>The power dissipated as heat in an a.c. circuit depends on its...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>resistance<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>inductive reactance<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>capacitive reactance<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>impedance<br /> <br /> 27.<span class="Apple-tab-span" style="white-space: pre;"> </span>Impedance is a maximum at resonance in...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>a series RLC circuit<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>a parallel RLC circuit<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>all RLC circuits<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>no RLC circuit<br /> <br /> 28.<span class="Apple-tab-span" style="white-space: pre;"> </span>Red shift indicates...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>recession of star<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>approaching movement of star<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>that red light changes to violet<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>that violet light changes to red<br /> <br /> 29.<span class="Apple-tab-span" style="white-space: pre;"> </span>The penetration power of beta particles is 1. Then the relative penetration power of gamma rays is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>1<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>100<br /> C.  1/1000<br /> D.  1000<br /> <br /> 30.<span class="Apple-tab-span" style="white-space: pre;"> </span>In a common-base circuit the current gain is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>1<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>greater than 1<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>smaller than 1<br /> <br /> Hover your cursor/pointer on the dark area below to reveal answers.<br /> <br /> <div class="postspoiler"> ANSWERS TO SET # 7<br /> 01)C 02)D 03)B 04)A 05)B<br /> 06)D 07)D 08)A 09)A 10)C<br /> 11)C 12)D 13)D 14)B 15)B<br /> 16)A 17)C 18)D 19)A 20)C<br /> 21)A 22)C 23)A 24)B 25)B<br /> 26)A 27)B 28)A 29)B 30)D </div>

MCQs / Compilation of Physics Problems Part 7

MCQs / Compilation of Physics Problems PRACTICE TEST IN PHYSICS SET  7 1. A current of 5 A passes along a wire of length 1.0 m. the...

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MCQs / Compilation of Physics Problems Part 6

<h1 style="font-size: 20px; text-align: center;"> </h1> <table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="MCQs / Compilation of Physics Problems" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" title="MCQs / Compilation of Physics Problems" /></a></td></tr> <tr><td class="tr-caption" style="font-size: 12.8000001907349px;">MCQs / Compilation of Physics Problems</td></tr> </tbody></table> <b>PRACTICE TEST IN PHYSICS SET</b><b> </b><b>6</b><br /> <br /> 1.<span class="Apple-tab-span" style="white-space: pre;"> </span>The equation applicable in the adiabatic process of n mole ideal gas is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>ΔU = nCpΔT<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>ΔU = nCvΔT<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>ΔQ = nCvΔT<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>ΔQ = nCpΔT<br /> <br /> 2.<span class="Apple-tab-span" style="white-space: pre;"> </span>In a Carnot's engine, the working substance is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>ideal gas<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>steam<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>petrol<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>CO2<br /> <br /> 3.<span class="Apple-tab-span" style="white-space: pre;"> </span>Two particles A and b initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, the speed of centre of mass of the system is<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>zero<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>v<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>1.5v<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>3v<br /> <br /> 4.<span class="Apple-tab-span" style="white-space: pre;"> </span>Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. The gravitational force of attraction between the planet and the star is proportional to R(-5/2), then T2 is proportional to...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>R3<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>R(7/2)<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>R(3/2)<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>R3.75<br /> <br /> 5.<span class="Apple-tab-span" style="white-space: pre;"> </span>Electrical conductivity increases with the increase in temperature of...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>P-type semiconductor<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>N-type semiconductor<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>intrinsic semiconductor<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>none<br /> <br /> 6.<span class="Apple-tab-span" style="white-space: pre;"> </span>Amount of charge in coulomb required to deposit one gram equivalent of substance by electrolysis is...<br /> A.  96500<br /> B.  48 x 10-10<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>6 x 1024<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>9600<br /> <br /> 7.<span class="Apple-tab-span" style="white-space: pre;"> </span>A camera lens is adjusted to f/4 and has an effective diameter of 2.0 cm. Its focal length is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0.2 cm<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>1.6 cm<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>2.0 cm<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>8.0 cm<br /> <br /> 8.<span class="Apple-tab-span" style="white-space: pre;"> </span>The self inductance of a long solenoid is directly affected by changes in all but...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>the number of turns<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>the current<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>the area of cross section<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>the relative permeability of the core<br /> <br /> 9.<span class="Apple-tab-span" style="white-space: pre;"> </span>Which of the following is not the unit of energy ?<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>joule<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>erg<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>newton.metre<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>dyne<br /> <br /> 10.<span class="Apple-tab-span" style="white-space: pre;"> </span>All collisions conserve...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>kinetic energy<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>momentum<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>both kinetic energy and momentum<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>neither of kinetic energy and momentum<br /> <br /> 11.<span class="Apple-tab-span" style="white-space: pre;"> </span>If a rocket of initial mass m is to rise from its launching pad, its initial thrust must exceed...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>mg/2<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>mg<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>2mg<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>mg2/2<br /> <br /> 12.<span class="Apple-tab-span" style="white-space: pre;"> </span>9 gram of water contains approximately...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>6 x 1023 molecules of water<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>6 x 1023 atoms of oxygen<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>6 x 1023 atoms of hydrogen<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>3 x 1023 atoms of hydrogen<br /> <br /> 13.<span class="Apple-tab-span" style="white-space: pre;"> </span>A cable can support a maximum load of W without exceeding the elastic limit. If it is replaced by a cable of same material but half as long and half the diameter, the elastic limit will not be exceeded by the new cable up to a load of...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>W/4<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>W/2<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>W<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>2W<br /> <br /> 14.<span class="Apple-tab-span" style="white-space: pre;"> </span>Surface tension does not depend on...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>surface area<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>the type of liquid<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>temperature<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>medium in contact with the liquid<br /> <br /> 15.<span class="Apple-tab-span" style="white-space: pre;"> </span>-40° F is equal to...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>-40° C<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>-8° C<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>-72° C<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>-104° C<br /> <br /> 16.<span class="Apple-tab-span" style="white-space: pre;"> </span>The magnitude of the field within a conductor...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>depends on the shape of the conductor<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>is always zero<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>is always positive<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>may be zero or positive<br /> <br /> 17.<span class="Apple-tab-span" style="white-space: pre;"> </span>A permanent magnet does not exert force on...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>an unmagnetized iron bar<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>a magnetized iron bar<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>a stationary electric charge<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>a moving electric charge<br /> <br /> 18.<span class="Apple-tab-span" style="white-space: pre;"> </span>A primary rainbow cannot be seen by an observer looking up if the altitude of the Sun exceeds...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>10°<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>20°<br /> C.  22.5°<br /> D.  40°<br /> <br /> 19.<span class="Apple-tab-span" style="white-space: pre;"> </span>According to the descending order of temperature the stars are classified in to the orders O,B,A,F,G,K and M. Our Sun comes in the order...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>A<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>B<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>G<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>K<br /> <br /> 20.<span class="Apple-tab-span" style="white-space: pre;"> </span>Position of the centre of mass of a rigid body depends on...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>its shape only<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>distribution of its matter only<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>both its shape and distribution of matter<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>its position relative to the earth.<br /> <br /> 21.<span class="Apple-tab-span" style="white-space: pre;"> </span>Force is to linear motion as _____ is to rotational motion.<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>acceleration<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>torque<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>moment of inertia<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>angular momentum<br /> <br /> 22.<span class="Apple-tab-span" style="white-space: pre;"> </span>A hole is drilled to the centre of the earth and a stone is dropped in to it. When the stone is at the earth's centre, compared to the values at the earth's surface...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>its mass and weight both change<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>its mass and weight both are zero<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>its mass is unchanged and its weight is zero<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>its mass is zero and its weight is unchanged<br /> <br /> 23.<span class="Apple-tab-span" style="white-space: pre;"> </span>For an IC engine, the thermal efficiency depends on...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>the compression ratio<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>the speed of the piston<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>the temperature of working medium<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>the diameter of the cylinder<br /> <br /> 24.<span class="Apple-tab-span" style="white-space: pre;"> </span>A 12-V potential difference is applied across a series combination of four 6-ohm resistors. The current in each resistor is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0.5 A<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>2 A<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>8 A<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>18 A<br /> <br /> 25.<span class="Apple-tab-span" style="white-space: pre;"> </span>The temperature at which the thermo emf becomes zero is known as the...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>neutral temperature<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>absolute temperature<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>inverse temperature<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>thermoelectric temperature<br /> <br /> 26.<span class="Apple-tab-span" style="white-space: pre;"> </span>A transformer uses the principle of...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>self-induction<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>mutual induction<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>variable resistance<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>electrostatic attraction<br /> <br /> 27.<span class="Apple-tab-span" style="white-space: pre;"> </span>If V and Vm are the instantaneous and maximum values, respectively , of voltage in an a.c. circuit, then the mean value of the voltage is...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>Vm sinωt<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>√ 2 Vm<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Vm/√ 2<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above<br /> <br /> 28.<span class="Apple-tab-span" style="white-space: pre;"> </span>Electromagnetic waves having wavelengths greater than 200 m are called...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>sky waves<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>ground waves<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>micro waves<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>X-rays<br /> <br /> 29.<span class="Apple-tab-span" style="white-space: pre;"> </span>If θm is the angle of diffracted wave with the direction of incidence and d is the width of slit, then mth order minima is obtained for sinθm equal to...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>mλ/d<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>dλ/m<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>md/λ<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>m/λd<br /> <br /> 30.<span class="Apple-tab-span" style="white-space: pre;"> </span>As a sample of a radioactive element decays, its half-life...<br /> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>decreases<br /> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>increases<br /> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>remains the same<br /> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>changes exponentially.<br /> <br /> Hover your cursor/pointer on the dark area below to reveal answers.<br /> <br /> <div class="postspoiler"> ANSWERS TO SET # 6<br /> <br /> (01) B (02) A (03) A (04) B (05) C<br /> (06) A (07) D (08) B (09) D (10) B<br /> (11) B (12) C (13) A (14) A (15) A<br /> (16) B (17) C (18) D (19) C (20) C<br /> (21) B (22) C (23) A (24) A (25) C<br /> (26) B (27) D (28) B (29) A (30) C </div>

MCQs / Compilation of Physics Problems Part 6

MCQs / Compilation of Physics Problems PRACTICE TEST IN PHYSICS SET   6 1. The equation applicable in the adiabatic process of n mo...

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MCQs / Compilation of Physics Problems Part 5

<h1 style="font-size: 20px; text-align: center;"> </h1> <table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody> <tr><td><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="MCQs / Compilation of Physics Problems" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgihHeD8tYGGILHgBb3XpavZ69qBqztzl3J_7G4XCGefGtq9URsM0GhC94A5IRHFpEdVSPalqZBpWXOvoKF6QiCU-6yqFyoRnKNfwJoz9iX52l_VOGh7w8UsZ_hhJxMI1GOwpF5snmAOGCV/s1600/mcqs-p6.jpg" title="MCQs / Compilation of Physics Problems" /></a></td></tr> <tr><td class="tr-caption" style="font-size: 12.8000001907349px;">MCQs / Compilation of Physics Problems</td></tr> </tbody></table> <b>PRACTICE TEST IN PHYSICS SET</b><b> 5</b><br /> <div> <br /></div> <div> 1.<span class="Apple-tab-span" style="white-space: pre;"> </span>T is the period of oscillation for a spring-mass system on earth. Its period on moon is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>T</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>6T</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>T/6</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>√ 6T</div> <div> <br /></div> <div> 2.<span class="Apple-tab-span" style="white-space: pre;"> </span>In a stretched string, the speed of waves depends on...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>the tension in the string</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>the amplitude</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>the wavelength</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>the acceleration due to gravity</div> <div> <br /></div> <div> 3.<span class="Apple-tab-span" style="white-space: pre;"> </span>For a plane curved path with radius of curvature R without slope the maximum safe velocity of the vehicle(v) is proportional to...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>R</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>R2</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>√R</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>1/R</div> <div> <br /></div> <div> 4.<span class="Apple-tab-span" style="white-space: pre;"> </span>Two projectiles A and B are projected with same initial velocity. The direction of A makes an angle αA = π/4 with the horizontal.The direction of B makes an angle αB with the horizontal. The range of A will be double that of B for αB equal to...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>π/8</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>π/2</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>π/3</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>π/12</div> <div> <br /></div> <div> 5.<span class="Apple-tab-span" style="white-space: pre;"> </span>A frictionless heat engine can be 100% efficient only its exhaust temperature is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>equal to its input temperature</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>0°C</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>less than the input temperature</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>0 K</div> <div> <br /></div> <div> 6.<span class="Apple-tab-span" style="white-space: pre;"> </span>The resistance of conductor is R. The resistance of another conductor of identical material and equal length with twice the diameter is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>R/4</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>R/2</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>2R</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>4R</div> <div> <br /></div> <div> 7.<span class="Apple-tab-span" style="white-space: pre;"> </span>The magnitude of the magnetic field B at a point on the axis near the centre of the infinitely long solenoid having n turns per unit length and carrying a current I is given by...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>μ0nI</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>μ0I/n</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>(μ0nI)/4π</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>μ0I/4πn</div> <div> <br /></div> <div> 8.<span class="Apple-tab-span" style="white-space: pre;"> </span>The impedance of a circuit does not depend on...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>f</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>I</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>C</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>R</div> <div> <br /></div> <div> 9.<span class="Apple-tab-span" style="white-space: pre;"> </span>Shadows are never completely dark because of...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>interference</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>diffraction</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>polarization</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>reflection</div> <div> <br /></div> <div> 10.<span class="Apple-tab-span" style="white-space: pre;"> </span>Threshold frequency is the characteristic of...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>the incident radiation</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>the emitted electrons</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>the metal</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>both radiation and the metal</div> <div> <br /></div> <div> 11.<span class="Apple-tab-span" style="white-space: pre;"> </span>In the hydrogen spectrum,the seriesv obtained in the visible region is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>Balmer series</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>Lyman series</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Paschen series</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>Brackett series</div> <div> <br /></div> <div> 12.<span class="Apple-tab-span" style="white-space: pre;"> </span>Out of four different atoms:46A22, 48B22, 46C23, 44D20, the pair of isotones is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>A and B</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>B and C</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>A and C</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>A and D</div> <div> <br /></div> <div> 13.<span class="Apple-tab-span" style="white-space: pre;"> </span>In a common-base circuit, the current gain is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>1</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>less than 1</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>greater than 1</div> <div> <br /></div> <div> 14.<span class="Apple-tab-span" style="white-space: pre;"> </span>The magnitude of the resultant of two forces is a minimum when the angle between them is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0°</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>45°</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>90°</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>180°</div> <div> <br /></div> <div> 15.<span class="Apple-tab-span" style="white-space: pre;"> </span>Work done on the particle in uniform circular motion is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>always positive</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>always negative</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>always zero</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>directly proportional to the force</div> <div> <br /></div> <div> 16.<span class="Apple-tab-span" style="white-space: pre;"> </span>An 800-kg car moving at 80 kmph collides head-on with a 1200-kg car moving at 40 kmph. If they stick together, the wreckage now has an initial speed of...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>8 kmph</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>40 kmph</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>56 kmph</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>60 kmph</div> <div> <br /></div> <div> 17.<span class="Apple-tab-span" style="white-space: pre;"> </span>Fluids possess...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>only volume elasticity</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>rigidity and volume elasticity</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>only rigidity</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>volume elasticity and tensile elasticity</div> <div> <br /></div> <div> 18.<span class="Apple-tab-span" style="white-space: pre;"> </span>A water-proofing agent...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>reduces angle of contact</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>increases angle of contact</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>decreases surface tension</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>increases surface area</div> <div> <br /></div> <div> 19.<span class="Apple-tab-span" style="white-space: pre;"> </span>A certain container holds 1 kg air at atmospheric pressure. When an additional 1 kg of air is pumped into the container at constant temperature, the pressure is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>0.5 atm</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>1 atm</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>2 atm</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>4 atm</div> <div> <br /></div> <div> 20.<span class="Apple-tab-span" style="white-space: pre;"> </span>If Q is the charge on either of the plates of the capacitor and V is the potential difference across the capacitor with capacitance C, what is not true is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>C = Q/V</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>V α Q</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>Q/V = constant</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>VQ = constant</div> <div> <br /></div> <div> 21.<span class="Apple-tab-span" style="white-space: pre;"> </span>The origin of all magnetic fields lies in...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>atoms of iron</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>magnetic domains</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>moving charges</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>permanent magnets</div> <div> <br /></div> <div> 22.<span class="Apple-tab-span" style="white-space: pre;"> </span>The effective atmosphere of sun is called...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>photosphere</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>chromosphere</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>corona</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>stratosphere</div> <div> <br /></div> <div> 23.<span class="Apple-tab-span" style="white-space: pre;"> </span>A 4 litre gas cylinder contains neon gas at 12 kPa. Another cylinder with 8 litre capacity is at same temperature and contains argon gas at 24 kPa. When the two are connected, the total pressure will be...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>16 kPa</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>18 kPa</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>20 kPa</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>36 kPa</div> <div> <br /></div> <div> 24.<span class="Apple-tab-span" style="white-space: pre;"> </span>Eddy currents can be of use in...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>dynamo armatures</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>moving coil galvanometers</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>transformer cores</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>all of the above.</div> <div> <br /></div> <div> 25.<span class="Apple-tab-span" style="white-space: pre;"> </span>A tube closed at one end and containing air, produces the fundamental note of frequency 512 Hz when excited. If the tube is open at both ends, the fundamental frequency that can be excited in Hz is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>1024</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>512</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>256</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>128</div> <div> <br /></div> <div> 26.<span class="Apple-tab-span" style="white-space: pre;"> </span>The process by which a heavy nucleus splits into two nuclei is known as...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>fusion</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>β-decay</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>fission</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>γ-emission</div> <div> <br /></div> <div> 27.<span class="Apple-tab-span" style="white-space: pre;"> </span>A uniform chain of length L and mass M is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If 'g' is the acceleration due to gravity, the work required to pull the hanging parton to the table is...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>MgL</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>MgL/3</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>MgL/9</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>MgL/8</div> <div> <br /></div> <div> 28.<span class="Apple-tab-span" style="white-space: pre;"> </span>Out of the following which is the most elastic ?</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>rubber</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>glass</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>steel</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>plastic</div> <div> <br /></div> <div> 29.<span class="Apple-tab-span" style="white-space: pre;"> </span>Amagat's isothermal graphs are in the form of...</div> <div> A.<span class="Apple-tab-span" style="white-space: pre;"> </span>PV→T</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>PV→P</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>P→V</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>PV→V</div> <div> <br /></div> <div> 30.<span class="Apple-tab-span" style="white-space: pre;"> </span>An ideal heat engine absorbs heat at 127° and rejects heat at 77°. Efficiency of the engine is...</div> <div> A.  12.5%</div> <div> B.<span class="Apple-tab-span" style="white-space: pre;"> </span>28%</div> <div> C.<span class="Apple-tab-span" style="white-space: pre;"> </span>68%</div> <div> D.<span class="Apple-tab-span" style="white-space: pre;"> </span>39%</div> <div> <br /> Hover your cursor/pointer on the dark area below to reveal answers.<br /> <br /></div> <div> <div class="postspoiler"> ANSWERS TO SET # 5<br /> <br /> (01) A (02) A (03) C (04) D (05) D<br /> (06) A (07) A (08) B (09) B (10) C<br /> (11) A (12) D (13) C (14) D (15) C<br /> (16) A (17) A (18) B (19) C (20) D<br /> (21) C (22) B (23) C (24) B (25) A<br /> (26) C (27) D (28) C (29) B (30) A</div> </div>

MCQs / Compilation of Physics Problems Part 5

MCQs / Compilation of Physics Problems PRACTICE TEST IN PHYSICS SET  5 1. T is the period of oscillation for a spring-mass system...

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