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Physics: Multiple Choice Questions on Gravitation


1.

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 = 2 Vo

  Ve2 = 2 Vo2

  Ve = Vo

  Vo2 = 2 Ve2

2.

If the radius of the Earth were increased by a factor of 3 and its mass remained the same, then the acceleration due to gravity on the Earth would

  increase by a factor of 9

  increase by a factor of 3

  reduce by a factor of 3

  reduce by a factor of 9

3.

A planet's density is 2 times that of the Earth. But the acceleration due to gravity on its surface is exactly the same as on the Earth's surface. The radius of the planet in terms of the Earth's radius R is

  R / 4

  4 R

  2 R

  R / 2

4.

If the distance between two masses is increased by a factor of 2, the gravitational force of attraction between them will

  remain Same

  increase by a factor of 2

  reduce by a factor of 4

  reduce by a factor of 2

5.

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 : 9

  27 : 1

  1 : 27

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