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This exam covers key concepts in kinematics, electric fields, and forces. Students should be familiar with the equations of motion, electric field intensity in charged spheres, and the principles governing projectile mot…
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Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m/s. If their acceleration are 0.3 m/s² and 0.2 m/s² respectively, then the time they take to pass each other will be
10 s
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A sphere of radius r has electric charge uniformly distributed in its entire volume. At a distance d from the centre inside the sphere (d < r) the electric field intensity is directly proportional to
d
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A rocket is fired upward from the earth's surface such that it has an acceleration of 19.6m/sec². If after 5 sec its engine is switched off, the maximum height the rocket from earth's surface would be (g = 9.8m/sec²)
490 m
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The electric field at 2R from the centre of a uniformly charged non-conducting sphere of radius R is E. The electric field at a distance R/2 from the centre will be
Zero
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A man in a balloon rising vertically with an acceleration of 4.9m/sec² releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g = 9.8m/sec²)
60 m, 20 m/s
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An athlete completes one round of a circular track of radius R in 20 s with constant speed. What will be his displacement at the end of 1 minute 10 second?
Zero
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A charge q is to be distributed on two conducting spheres. What should be the value of the charges on the spheres so that the repulsive force between them is maximum when they are placed at a fixed distance from each other in air?
q/2 and q/2
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A particle of mass m and carrying a charge -q₁ is moving around a charge +q₂ along a circular path of radius r. Find period of revolution of the charge -q₁.
√(8π ε₀mr³ / q₁q₂)
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Two balls X and Y are thrown from top of tower one vertically upward and other vertically downward with same speed. If time taken by them to reach the ground is 6 sec and 2 sec respectively, then the height of the tower and initial speed of each ball are (g = 10m/s²)
60 m, 20 m/s
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