Q. The acceleration due to gravity on the planet $A$ is 9 times the acceleration due to gravity on the planet $B$. A man jumps to a height of $2m$ on the surface of $A$. What is the height of jump by the same person on the planet $B$
A) $18\ m$
B) $6\ m$
C) $\frac{2}{3}m$
D) $\frac{2}{9}m$
Explanation
(a) $H_{\max} = \frac{u^{2}}{2g} \Rightarrow H_{\max} \propto \frac{1}{g}$
On planet $B$ value of $g$ is $1/9$ times to that of $A$. So value of $H_{\max}$ will become 9 times $i.e.$ $2 \times 9 = 18\ metre$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.