Question

The acceleration due to gravity g and mean density of earth $\rho$ are related by which of the following relations ? [G = gravitational constant and R = radius of earth].

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

Answer 1

The correct option is C $\rho =\frac{3G}{4\pi gR}$