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Physics: Multiple Choice Questions on Gravitation


1.

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 = M2 / M1

  V1 / V2 = M1 / M2

  V1 / V2 = (M2 / M1)2

2.

A planet's density is 2 times that of the Earth. But the acceleration due to gravity on its surface is exactly the same as on the Earth's surface. The radius of the planet in terms of the Earth's radius R is

  4 R

  R / 4

  2 R

  R / 2

3.

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

 

 

 

 

4.

If the escape velocity of a rocket from the surface of the Earth is ve , then the escape velocity of the same rocket from the surface of a planet whose acceleration due to gravity as well as radius are 3 times that of the Earth is

  3 ve

  ve / 3

  ve

  9 ve

5.

If a simple pendulum with a time period of 4 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 / 8 s

  4 s

  8 s

  1 / 4 s

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