Q. If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is
A) $\frac{R^{2}}{M}$
B) $\frac{M}{R^{2}}$
C) ${MR}^{2}$
D) $\frac{M}{R}$
Explanation
(b) Gravitational acceleration is given by
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ g = \frac{GM}{R^{2}}$
where G = gravitational constant
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \frac{g}{G} = \frac{M}{R^{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.