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  4. The gravitational potential due to a hollow sphere (mass M, radius R) varies with distance r from centre as

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Q. The gravitational potential due to a hollow sphere (mass $M$, radius $R$) varies with distance $r$ from centre as

Gravitation

Solution:

$v_g=-\frac{G M}{R}$
for $r \leq R$ and $v_g=-\frac{G M}{r}$,
for $r>R$, and
so option $(b)$ is correct.