Q. There are two planets. The ratio of radius of the two planets is $K$ but ratio of acceleration due to gravity of both planets is $g$. What will be the ratio of their escape velocity
A) $(Kg)^{1/2}$
B) $(Kg)^{- 1/2}$
C) $(Kg)^{2}$
D) $(Kg)^{- 2}$
Explanation
(a) $v = \sqrt{2gR}\ \therefore\frac{v_{1}}{v_{2}} = \sqrt{\frac{g_{1}}{g_{2}} \times \frac{R_{1}}{R_{2}}} = \sqrt{g \times K} = (Kg)^{1/2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.