Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 10

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The height at which the weight of a body becomes ${\frac{1}{16}}^{t h}$ of its weight on the surface of the earth is ___( $R$ is the radius of the earth)

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Important Questions on Gravitation

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 11

A spherical planet has a mass

M_{P}

and diameter

D_{P}

. A particle of mass

m

falling freely near the surface of this planet will experience acceleration due to gravity, equal to

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 13

A body of mass

m

is taken from the Earth's surface to the height equal to twice the radius

(R)

of the earth. The change in potential energy of the body will be,

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 14

Infinite number of bodies, each of mass

2 kg,

are situated on the

x

-axis at distances

1 m, 2 m, 4 m, 8 m, . . . . . . .

, respectively, from the origin. The resulting gravitational potential due to this system at the origin will be,

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 15

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass

= 6 \times 10^{24} kg

) have to be compressed to be a black hole?

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 18

At what height from the surface of earth the gravitational potential and the value of

g

are

- 5.4 \times 10^{7} J {kg}^{- 1}

and

6.0 {ms}^{- 2}

respectively ?
Take the radius of earth as

6400 km :

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 20

The ratio of escape velocity at earth

(v_{e})

to the escape velocity at a planet

(v_{p})

whose radius and mean density are twice as that of the earth is

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 21

Starting from the centre of the earth having radius

r

, the variation of

g

(acceleration due to gravity) is shown by

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Alpha Question Bank for Medical: Physics>Chapter 11 - Gravitation>Exercise-3>Q 23

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will