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Physics: Multiple Choice Questions on Gravitation


1.

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)2

  R1 /R2

  (R2 /R1)2

  R2 /R1

2.

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

  9 : 1

  27 : 1

  1 : 9

  1 : 27

3.

If a simple pendulum with a time period of 2 seconds is made to oscillate at a height R equal to the Earth's radius, then its time period at this height will be

  1 / 4 s

  4 s

  1 / 2 s

  2 s

4.

An Earth satellite of mass m revolves at a height h from the surface of the Earth. If R is the Earth's radius and g is the acceleration due to gravity at the surface of the Earth, then the velocity of the satellite is given by

 

 

 

 

5.

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 = M1 / M2

  V1 / V2 = M2 / M1

  V1 / V2 = (M2 / M1)2

  V1 = V2

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