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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

  (R2 /R1)2

  R2 /R1

  (R1 /R2)2

2.

If a simple pendulum with a time period of 6 seconds is made to oscillate at a height R equal to the Earth's radius, then its time period at this height will be

  12 s

  1 / 12 s

  6 s

  1 / 6 s

3.

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

  Ve = Vo

  Vo2 = 2 Ve2

  Ve2 = 2 Vo2

  Ve = 2 Vo

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 = (M2 / M1)2

  V1 / V2 = M1 / M2

  V1 = V2

  V1 / V2 = M2 / M1

5.

A reference frame attached to the Earth

  is an inertial frame by definition.

  is not an inertial frame because the Earth moves with respect to the Sun.

  cannot be an inertial frame of reference because of the Earth's rotation and revolution.

  is an inertial frame because Newton's laws of motion are applicable inside it.

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