Question

Considering earth to be a sphere of radius $R$ having uniform density $\rho$, then value of acceleration due to gravity $g$ in terms of $R,\rho$ and $G$ is

• A. $g=\sqrt{\dfrac{3\pi R}{\rho G}}$
• B. $g=\sqrt{\dfrac{4}{3}\pi \rho G R}$
• C. $g=\dfrac{4}{3}\pi \rho G R$
• D. $g=\dfrac{GM}{\rho R^2}$

Hint:

Physics Tip : For same density bodies, surface gravity is proportional to radius.

Answer 1

The Correct Option is C