First slide

Gravitaional potential at a point

Question

A particle of mass M is placed at the centre of a uniform spherical shell of mass 2M and radius R. The gravitational potential on the surface of the shell is

Moderate

A

-GM/R
B

-3GM/R
C

-2GM/R
D

zero

Solution

$\large {V_S} = {V_M} + {V_{\operatorname{shell} }} = \frac{{ - GM}}{R} + \left( {\frac{{ - G\left( {2M} \right)}}{R}} \right) = - \frac{{3GM}}{R}$

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