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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

  (R1 /R2)2

  (R2 /R1)2

  R1 /R2

2.

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

  1 : 27

  27 : 1

  1 : 9

  9 : 1

3.

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

  4 ve

  16 ve

  ve

  ve / 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 = M2 / M1

  V1 = V2

  V1 / V2 = M1 / M2

  V1 / V2 = (M2 / M1)2

5.

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

  Cannot be determined

  t1 = t2

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