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A solid sphere of uniform density and radius $R$ applies a gravitational force of attraction equal to $F_{1}$ un a particle placed at a distance $2 R$ from the centre of the sphere. A spherical cavity of radius $R / 2$ is now made in the sphere as shown in the figure. The sphere with the cavity now applies a gravitational force $F_{2}$ on the same particle. The ratio $F_{1} / F_{2}$ is

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Important Questions on Gravitation

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 31

Consider two solid uniform spherical objects of the same density

ρ

. One has radius

R

and the other has radius

2 R

. They are in outer space where the gravitational fields from other objects are negligible. If they are arranged with their surface touching, what is the contact force between the objects due to their traditional attraction?

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 32

A body starts from rest from a point distant

r_{0}

from the centre of the earth. It reaches the surface of the earth whose radius is

R

. The velocity acquired by the body is

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 33

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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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 34

The escape velocity corresponding to a planet of mass

M

and radius

R

50 km s^{- 1}

. If the planet's mass and radius were

4 M

and

R

respectively, then the corresponding escape velocity would be

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 35

The change in the value of

g

at a height

h

above the surface of the earth is same as at a depth

d

below the surface of the earth. When both

d

and $h$ are much smaller than the radius of earth, then which one of the following option is correct?

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 36

Four similar particles of mass

m

are orbiting in a circle of radius

r

in the same angular direction because of their mutual gravitational attractive force. Velocity of a particle is given by

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 37

The gravitational force exerted by the Sun on the Moon is about twice as great as the gravitational force exerted by the earth on the Moon, but still Moon is not escaping from the gravitational influence of the earth. Mark the option which correctly explains the above system.

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 38

A tunnel has been dug into a solid sphere of non-uniform mass density as shown in the figure. As one moves from $A$ to $B,$ the magnitude of gravitational field intensity

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Important Questions on Gravitation

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