Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.3>Q 16

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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

4 M

Are placed at a distance

r

. The gravitational potential at a point on the line joining them where the gravitational field is zero is.

HARD

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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 24

Suppose the gravitational force varies inversely as the

n^{th}

power of distance. Then the time period of a planet in circular orbit of radius

R

around the sun will be proportional to

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.4>Q 25

A satellite is moving with a constant speed

V

in a circular orbit about the earth. An object of mass

m

is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is