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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.

The ratio of the time periods for two satellites of equal mass in circular orbits of radii R and 9 R is

  9 : 1

  1 : 27

  27 : 1

  1 : 9

3.

A reference frame attached to the Earth

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

  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.

4.

The figure shows the elliptical orbit of a planet with the Sun at the focus. The areas of regions 1 and 2 are the same. If the planet takes times t1 to go from one end to the other end of region 1 and t2 to go from one end to the other end of region 2, then what is the relationship between t1 and t2?

  t1 < t2

  t1 = t2

  t1 > t2

  Cannot be determined

5.

If the escape velocity of a rocket from the surface of the Earth is ve , then the escape velocity of the same rocket from the surface of a planet whose acceleration due to gravity as well as radius are 4 times that of the Earth is

  ve / 4

  4 ve

  ve

  16 ve

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