Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 4

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The gravitational field due to a mass distribution is $E = \frac{A}{x^{2}}$ , in the $x$ -direction. Here, $A$ is a constant. Taking the gravitational potential to be zero at infinity, the potential at $x$ is

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Important Questions on Gravitation

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 5

Two bodies of masses

m

and

9 m

are placed at a distance

r

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

G

is universal gravitational constant)

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 6

Four particles each of mass

m

are placed at the vertices of a square of side

l

. The potential energy of the system is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 7

Which one of the following plots represents the variation of gravitational force

F

on a particle with distance

r

due to a thin spherical shell of radius

R

?

(r is measured from the centre of the spherical shell)

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 8

The gravitational potential energy of the Moon with respect to Earth is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 1

The escape velocity of a body on the surface of the earth is

11.2 km s^{- 1}

. If the earth's mass increases to twice its present value and radius of the earth becomes half, the escape velocity becomes:

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 2

A body is projected from the surface of Earth with a velocity

2 v_{e}

where

v_{e}

is the escape velocity. The velocity of the body when it escapes the gravitational field of the Earth is -

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 3

A particle is kept at rest at a distance

R

(earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is:

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 4

The escape velocity for the earth is

11 .2 km s^{- 1}

. The mass of another planet is

100

times that of the earth and its radius is

4

times that of the earth. The escape velocity for this planet will be