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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 4 R is

  4 : 1

  1 : 4

  8 : 1

  1 : 8

2.

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

  is an inertial frame by definition.

3.

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

  (R2 /R1)2

  (R1 /R2)2

4.

If the radius of the Earth were increased by a factor of 5 and its mass remained the same, then the acceleration due to gravity on the Earth would

  increase by a factor of 5

  increase by a factor of 25

  reduce by a factor of 25

  reduce by a factor of 5

5.

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 = d2 / R

  h = 2 d

  h = d / 2

  h = d

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