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

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

Gravitation

Solution:

$\vec{g}^{\prime}=-\frac{g \vec{r}}{R}$ for $r \leq R$ and
$g^{\prime}=\frac{g}{(1+r / R)^2}$ for $r \geq R$