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Q.

The figure represents a solid uniform sphere of mass M and radius R. Centre of a spherical cavity of radius $r$ is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

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a

towards the centre of the cavity

b

non uniform

c

directly proportional to $a$

d

uniform both in magnitude and direction

answer is C, D.

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Detailed Solution

The gravity field inside the cavity $\vec{E} = \frac{4}{3} π G ρ \vec{a}$

$E α a$ & it is uniform [Refer L.S. Ex.IV– 6]

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