(D) For a point outside the Earth at a distance $r$ from the centre $(r > R)$, the acceleration due to gravity is given by $g_{out} = \frac{GM}{r^2}$.

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(D) For a point outside the Earth at a distance $r$ from the centre $(r > R)$, the acceleration due to gravity is given by $g_{out} = \frac{GM}{r^2}$. Thus, $g_{out} \propto \frac{1}{r^2}$.For a point inside the Earth at a distance $r$ from the centre $(r Therefore, both statements $(A)$ and $(C)$ are correct.

Class 11 Physics Gravitation Acceleration Due to Gravity and its Variation

Medium

Assuming the Earth to be a sphere of uniform density, the acceleration due to gravity:

A
at a point outside the Earth is inversely proportional to the square of its distance from the centre.
B
at a point outside the Earth is inversely proportional to its distance from the centre.
C
at a point inside is proportional to its distance from the centre.
D
$ (A) $ and $ (C) $ both.

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Acceleration Due to Gravity and its Variation

$A$ body of mass $m$ is taken to the bottom of a deep mine. Then

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$A$ body weighs $500 \, N$ on the surface of the earth. How much would it weigh halfway below the surface of the earth (in $, N$)?

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Which graph correctly presents the variation of acceleration due to gravity with the distance from the centre of the earth (radius of the earth $= R_E$)?

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If the radius of the earth contracts by $2\%$ and its mass remains the same,then the weight of a body at the earth's surface:

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Assertion $(A)$: $A$ particle of mass $m$ dropped into a hole made along the diameter of the Earth from one end to the other possesses simple harmonic motion.
Reason $(R)$: Gravitational force between any two particles is inversely proportional to the square of the distance between them.

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Assuming the Earth to be a sphere of uniform density, the acceleration due to gravity:

Similar Questions

$A$ body of mass $m$ is taken to the bottom of a deep mine. Then

$A$ body weighs $500 \, N$ on the surface of the earth. How much would it weigh halfway below the surface of the earth (in $, N$)?

Which graph correctly presents the variation of acceleration due to gravity with the distance from the centre of the earth (radius of the earth $= R_E$)?

If the radius of the earth contracts by $2\%$ and its mass remains the same,then the weight of a body at the earth's surface:

Assertion $(A)$: $A$ particle of mass $m$ dropped into a hole made along the diameter of the Earth from one end to the other possesses simple harmonic motion.Reason $(R)$: Gravitational force between any two particles is inversely proportional to the square of the distance between them.

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Assertion $(A)$: $A$ particle of mass $m$ dropped into a hole made along the diameter of the Earth from one end to the other possesses simple harmonic motion.
Reason $(R)$: Gravitational force between any two particles is inversely proportional to the square of the distance between them.