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Let V and E represent gravitational potential and gravitational field strength at a distance r from the centre of a hollow sphere. Consider the following statements

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Important Questions on Gravitation

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.3>Q 17
Two objects of masses m and 2 m are at rest at infinite separation. They move towards each other under mutual gravitational attraction then at a separation r, which of the following is true?
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.3>Q 18
Given that mass of the earth is M and its radius is R. A body is dropped from a height equal to the radius of the earth above the surface of the earth. When it reaches the ground, its speed will be
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.3>Q 19
Two bodies of masses M and 4M Are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is.
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 20
A double star system consists of two starts having masses m and 2 m separated by a distance r
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 21
In a reference frame fixed to Sun,
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 22
A satellite of mass m revolving in circular orbit of radius r around the Earth of mass M has binding energy E. The angular momentum of the satellite will be
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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 23

Consider an attractive force which is central but is inversely proportional to the first power of distance. If a particle moves in a circular orbit under such force, which of the following statements are correct?

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 24
Suppose the gravitational force varies inversely as the nth  power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to