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7.Gravitation
normal
A particle of mass $M$ is situated at the centre of a spherical shell of same mass and radius $a$. The gravitational potential at a point situated at $\frac{a}{2}$ distance from the centre, will be
A
$\frac{{ - GM}}{a}$
B
$\frac{{ - 2GM}}{a}$
C
$\frac{{ - 3GM}}{a}$
D
$\frac{{ - 4GM}}{a}$
Solution

$\mathrm{V}_{\mathrm{p}}=\frac{-\mathrm{GM}}{\mathrm{a}}+\left(\frac{-\mathrm{GM}}{\mathrm{a} / 2}\right)=\frac{-3 \mathrm{GM}}{\mathrm{a}}$
Standard 11
Physics