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JEE Advanced

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An artificial satellite of the mass, $m$ is moving in a circular orbit around the earth of mass, $M$ and radius, $R$ with a speed equal to half of the magnitude of escape velocity on the surface of the earth ( $g =$ acceleration due to gravity on the surface of the earth). Then

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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

Two particles of mass

m

and

4 m

are at rest at infinite separation. They move towards each other under mutual gravitational attraction. If

G

is the universal gravitational constant. Then at separation,

r

, (Assume zero reference potential energy at infinite separation)

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JEE Advanced

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

A satellite is orbiting round the earth's surface in an orbit as close as possible to the surface of the earth. Then.

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JEE Advanced

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

Two spherical planets have the same mass but densities in the ratio

1 : 8

. For these planets, the

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JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 1

The earth (mass

= 10^{24} k g

) revolves around the Sun with an angular velocity,

2 \times 10^{- 7} r a d s^{- 1}

in a circular orbit of radius,

1.5 \times 10^{8} k m

. Find the force exerted by the Sun on the earth (in

\times 10^{21} N

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 2

The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is

R

and the radius of the planet is

R'

. Then what is the value of

\frac{R}{R'}

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 3

Imagine a new planet having the same density as that of the earth but it is

3

times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is

g

and that on the new planet is

g'

, then what is the value of

g' / g

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 4

A particle of mass

m

is subjected to an attractive central force of magnitude

\frac{k}{r^{2}}, k

being a constant. At the instant when the particle is at its extreme position in its closed orbit at a distance

a

from the centre of force, its speed is

\frac{k}{2 ma}

. If the distance of other extreme is b, find

\frac{a}{b}

HARD

JEE Advanced

IMPORTANT

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

A small

2 k g

mass moved slowly from the surface of the earth to a height of,

6.4 \times 10^{6} m

above the earth. Find the work done [in mega joule].

An artificial satellite of the mass, m is moving in a circular orbit around the earth of mass, M and radius, R with a speed equal to half of the magnitude of escape velocity on the surface of the earth (g=acceleration due to gravity on the surface of the earth). Then

Important Questions on Gravitation

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An artificial satellite of the mass, $m$ is moving in a circular orbit around the earth of mass, $M$ and radius, $R$ with a speed equal to half of the magnitude of escape velocity on the surface of the earth ( $g =$ acceleration due to gravity on the surface of the earth). Then