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Physics: Multiple Choice Questions on Gravitation


1.

The ratio of the time periods for two satellites of equal mass in circular orbits of radii R and 16 R is

  64 : 1

  1 : 64

  16 : 1

  1 : 16

2.

A satellite is moving around the Earth in a circular orbit with a velocity V. If the gravitational force of the Earth were to suddenly disappear, then the satellite would

  move with a velocity V, tangentially to its circular orbit.

  fall towards the surface of the Earth.

  move radially outwards with a velocity V.

  spirally move away from the Earth.

3.

If the value of gravitational acceleration at a height h above the Earth's surface is the same as that at a depth d below the Earth's surface (with both h and d small compared to the Earth's radius R), then

  h = d / 2

  h = d2 / R

  h = d

  h = 2 d

4.

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

5.

A reference frame attached to the Earth

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

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

  is an inertial frame by definition.

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

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