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Physics: Multiple Choice Questions on Gravitation


1.

If the value of gravitational acceleration at a height h above the Earth's surface is the same as that at a depth d below the Earth's surface (with both h and d small compared to the Earth's radius R), then

  h = d

  h = d / 2

  h = 2 d

  h = d2 / R

2.

Two satellites of masses M1 and M2 have escape velocities V1 and V2 from the surface of a planet of radius R with acceleration due to gravity g. Which of the following is true?

  V1 / V2 = (M2 / M1)2

  V1 / V2 = M2 / M1

  V1 / V2 = M1 / M2

  V1 = V2

3.

A satellite is moving around the Earth in a circular orbit with a velocity V. If the gravitational force of the Earth were to suddenly disappear, then the satellite would

  move radially outwards with a velocity V.

  fall towards the surface of the Earth.

  move with a velocity V, tangentially to its circular orbit.

  spirally move away from the Earth.

4.

Two planets of radii R1 and R2 have the same density. The ratio of their accelerations due to gravity at the surface is

  R1 /R2

  R2 /R1

  (R2 /R1)2

  (R1 /R2)2

5.

The gravitational acceleration on a planet is 20% less than that on the Earth. A rocket takes a man from the Earth to this planet. On neglecting the effect of all other bodies in the sky, which curve in the figure best describes the change in the man's weight with distance traveled?

  B

  A

  D

  C

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