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Question

A point mass m0 is placed at a distance R3 from the centre of a spherical shell of mass M and radius R. The gravitational force on the point mass m0 is

A
9GMm0R2
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B
GMm0R2
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C
Zero
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D
4GMm0R2
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Solution

The correct option is C Zero
If we draw an imaginary sphere of radius R/3 around the center (Gaussian surface) then it will not contain any mass because the original sphere is hollow.

So the gravitational field at the surface of this imaginary sphere will be zero so the field at distance R/3 from center
will be zero.
As field is zero so Force will be also be Zero.
Option C is correct.
Note- The gravitational field inside a shell is always zero.

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