Q. If orbital velocity of planet is given by $v = G^{a}M^{b}R^{c}$, then
A) $a = 1/3,\ b = 1/3,\ c = - 1/3$
B) $a = 1/2,\ b = 1/2,\ c = - 1/2$
C) $a = 1/2,\ b = - 1/2,\ c = 1/2$
D) $a = 1/2,\ b = - 1/2,\ c = - 1/2$
Explanation
(b) $v = \sqrt{\frac{GM}{R}} = G^{1/2}M^{1/2}R^{- 1/2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.