Q. The ratio of the radius of the earth to that of the moon is 10. The ratio of acceleration due to gravity on the earth and on the moon is 6. The ratio of the escape velocity from the earth’s surface to that from the moon is
A) 10
B) 6
C) Nearly 8
D) 1.66
Explanation
(c) $\frac{v_{e}}{v_{m}} = \sqrt{\begin{array}{r}
\frac{g_{e}}{g_{m}}\frac{R_{e}}{R_{m}} \\
\
\end{array}} = \sqrt{6 \times 10} = \sqrt{60} = 8$ (nearly)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.