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One goes from the centre of the earth to a distance two third the radius of the earth. The acceleration due to gravity is highest at

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Important Questions on Gravitation

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The value of the acceleration due to gravity is

g_{1}

at a height

h = \frac{R}{2}

(

R =

radius of the earth) from the surface of the earth. It is again equal to

g_{1}

at a depth

d

below the surface the earth. The ratio

(\frac{d}{R})

equals:

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

Dependence of intensity of gravitational field

(E)

of earth with distance

(r)

from centre of earth is correctly represented by:

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The height $h$ at which the weight of a body will be the same as that at the same depth $h$ from the surface of the earth is,

(Radius of the earth is $R$ and effect of the rotation of the earth is neglected)

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The ratio of the height above the surface of earth to the depth below the surface of earth, for gravitational accelerations to be the same (assuming small heights), is

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The variation of acceleration due to gravity

g

with distance

d

from the centre of the earth is best represented by (

R

= Earth's radius):

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

What is the depth at which the value of acceleration due to gravity becomes

\frac{1}{n}

times the value at the surface of the earth? (radius of the earth

= R

)

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The ratio of the weight of a body at a height of

\frac{R}{10}

from the surface of the earth to that at a depth of

\frac{R}{10}

is (

R

is radius of earth)

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

R_{E}

be the radius of Earth, then the ratio between the acceleration due to gravity at a depth

r

below and a height

r

above the earth surface is:
(Given :

r < R_{E}

)

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The depth

d

at which the value of acceleration due to gravity becomes

\frac{1}{n}

times the value at the earth's surface is

(R

= radius of the earth

)

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The acceleration due to gravity at a height

1 km

above the earth is the same as at a depth

d

below the surface of earth. Then

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

Which of the following graphs correctly represents the variation of

' g'

on the Earth?

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

If the change in the value of

g

at a height

h

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

x

below it, then (both

x

and

h

being much smaller than the radius of the earth)

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

A stone weighs

100 N

on the surface of the Earth. The ratio of its weight at a height of half the radius of the Earth to a depth of half the radius of the earth will be approximately

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

A body weighs

72 N

on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

HARD

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

At a height of

10 km

above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density of the earth, the depth is,

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

The acceleration due to gravity at a height

{(\frac{1}{20})}^{t h}

of the radius of earth above the earth's surface is

9 m s^{- 2}

. Its value at an equal depth below the surface of earth is

MEDIUM

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

At what depth below surface of the earth, the acceleration due to gravity will be half its value of that at

1600 km

above the surface of the earth?

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

A body weighs

200 N

on the surface of the earth. How much will it weigh half way down to the centre of the earth?

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

Starting from the center of the earth having radius,

R

, the variation of

g

(acceleration due to gravity) is shown by

EASY

Physics>Mechanics>Gravitation>Acceleration Due To Gravity

At what height from the surface of earth the gravitation potential and the value of g are

- 5.4 \times 10^{7} J k g^{- 2}

and

6.0 m s^{- 2}

respectively? Take the radius of earth as

6400 km

One goes from the centre of the earth to a distance two third the radius of the earth. The acceleration due to gravity is highest at

Important Questions on Gravitation

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