Question 1 : Two identical solid copper spheres of radius R placed in contact with each other. The gravitational attracton between them is proportional to
1. R^-2
2. R^-4
3. R²
4. R⁴
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Question 2 : The dimensions of universal gravitational constant are
1. M L^-1 T^-2
2. M^-1 L³ T^-2
3. M² L² T^-2
4. M L² T^-2
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Question 3 : The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on the earth's surface and moon's surface are in the ratio 6 : 1. The ratio of escape velocities from earth's surface to that of moon surface is
1. 7.74 : 1
2. 10:01
3. 1.66 : 1
4. 6:01
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Question 4 : The centripetal force acting on a satellite orbiting round the earth and the gravitational force of earth acting on the satellite both equal F. The net force on the satellite is
1. Zero
2. F√2
3. F
4. 2 F
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Question 5 : If the acceleration due to gravity of a planet is half the acceleration due to gravity of earth's surface and radius of planet is half the radius of the earth, the mass of planet in terms of mass of earth is
1. Me/2
2. Me/6
3. Me/4
4. Me/8
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Question 6 : A thin uniform, circular ring is rolling down an inclined plane of inclination 30° without slipping. Its linear acceleration along the inclined plane will be
1. g/2
2. g/3
3. g/4
4. 2g/3
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Question 7 : When body is raised to a height equal to radius of earth, the P.E. change is
1. 2 MgR
2. MgR/2
3. MgR
4. none of these
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Question 8 : If escape velocity from the earth's surface is 11.2 km/sec. then escape velocity from a planet of mass same as that of earth but radius one fourth as that of earth is
1. 22.4 km/sec
2. 5.65 km/sec
3. 11.2 km/sec
4. 44.8 km/sec
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Question 9 : If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would
1. decrease
2. remains unchanged
3. increase
4. none of these
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Question 10 : The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6 × 10²⁴ kg and G = 6.66 × 10^-11 Nm²/kg². The speed of the moon is nearly
1. 4 km/sec
2. 8 km/sec
3. 11.2 km/sec
4. 1 km/sec
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