Question 132 of 223

A mass of $50kg$ is placed at the center of a uniform spherical shell of mass $100kg$ and radius $50m$. If the gravitational potential at a point, $25m$ from the center is $Vkg{m}^{-1}$. The value of $V$ is:

A$+2G$B$-20G$C$-4G$D$-60G$

Show answer and solution▾

Answer: (C) $-4G$

Use the formula of the gravitational potential in terms of universal gravitational constant, $V=\dfrac{-GM}{R}$$\Rightarrow {V}_{p}=-\dfrac{G(100)}{50}-\dfrac{G(50)}{25}$$=-4G$.