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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

  Vo2 = 2 Ve2

  Ve = 2 Vo

2.

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)2

  (R1 /R2)2

  R2 /R1

3.

Consider a hole drilled into the Earth and an object placed at the bottom of the hole (point P) as shown in the figure. The gravitational force of attraction on the object will be due to

  regions 1 and 2

  region 1 and a portion of region 2

  region 1

  region 2

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.

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 : 27

  1 : 9

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