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Q.

An object of mass m is kept in a cavity inside a hollow sphere of mass M and radius R such that its distance from the centre is 'r'. Gravitational force between the sphere and the mass m is:

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a

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

b

zero

c

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

d

$\frac{GMm}{(R - r)^{2}}$

answer is C.

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Detailed Solution

Inside the hollow spherical cell gravitational field is zero hence no force will be experienced.

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An object of mass m is kept in a cavity inside a hollow sphere of mass M and radius R such that its distance from the centre is 'r'. Gravitational force between the sphere and the mass m is: