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Physics: Multiple Choice Questions on Gravitation


1.

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)2

  V1 / V2 = M2 / M1

  V1 / V2 = M1 / M2

  V1 = V2

2.

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 = d

  h = 2 d

  h = d / 2

3.

An Earth satellite of mass m revolves at a height h from the surface of the Earth. If R is the Earth's radius and g is the acceleration due to gravity at the surface of the Earth, then the velocity of the satellite is given by

 

 

 

 

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

  Cannot be determined

  t1 < t2

5.

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 radially outwards with a velocity V.

  spirally move away from the Earth.

  fall towards the surface of the Earth.

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

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