JEE Main

AI Gen: Gravitation question bank (Physics)

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Q1.

A particle of mass $m$ is placed at a distance $r$ from the center of a uniform spherical shell of mass $M$ and radius $R$. If $r < R$, the gravitational force acting on the particle is:

Topic: Gravitation | Source: AI Generated (JEE Main)

(A)

$\frac{GMm}{r^2}$

(B)

$\frac{GMm}{R^2}$

(C)

Zero

(D)

$\frac{GMmr}{R^3}$

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Q2.

Assuming the earth to be a sphere of uniform density, what is the value of acceleration due to gravity at a depth equal to half of the radius of the earth ($R/2$)?

Topic: Gravitation | Source: AI Generated (JEE Main)

(A)

$g/2$

(B)

$g/4$

(C)

$3g/4$

(D)

$g/8$

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