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Physics: Multiple Choice Questions on Gravitation


1.

A satellite orbits at a height h above the Earth's surface. Let R be the Earth's radius. If Ve is the escape velocity and Vo is the orbital velocity of the satellite orbiting at a height h << R, then

  Ve2 = 2 Vo2

  Ve = Vo

  Ve = 2 Vo

  Vo2 = 2 Ve2

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

  V1 / V2 = M1 / M2

  V1 / V2 = M2 / M1

  V1 / V2 = (M2 / M1)2

3.

A planet is moving around the Sun in a circular orbit of circumference C. The work done on the planet by the gravitational force F of the Sun is

  Zero.

  FC/2

  F/C

  FC

4.

The ratio of the time periods for two satellites of equal mass in circular orbits of radii R and 9 R is

  1 : 27

  9 : 1

  27 : 1

  1 : 9

5.

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 / 2

  h = 2 d

  h = d

  h = d2 / R

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