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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

  R2 /R1

  (R2 /R1)2

  (R1 /R2)2

  R1 /R2

2.

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

 

 

 

 

3.

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

  2 R

  R / 2

  4 R

  R / 4

4.

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

  V1 / V2 = (M2 / M1)2

5.

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

  Vo2 = 2 Ve2

  Ve = Vo

  Ve = 2 Vo

  Ve2 = 2 Vo2

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