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A spherical shell of radius $R$ is cut along a chord $A B$ and slightly displaced as shown in figure. Two points $P$ and $Q$ are such that with $P$ in lower part and $Q$ in upper part of the shell. Then :

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The gravitational field at P and Q are zero.

The sum of gravitational fields at P and Q is zero.

The gravitational potentials at P and Q are equal.

The gravitational potentials at P and Q are unequal.

answer is B, D.

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Detailed Solution

The gravitational field inside shell, ${\vec{E}}_{g} = 0 .$ So if ${\vec{E}}_{1}$ and ${\vec{E}}_{2}$ are the gravitation field strength at $P$ and $Q,$ then ${\vec{E}}_{1} + {\vec{E}}_{2} = 0$

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