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 surface of A. What is height of the jump by the same person on B.

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

$\frac{2}{9} m$

18 m

$\frac{2}{3} m$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Planet A $\Rightarrow g_{A} = 9 g$

Planet B $\Rightarrow g_{B} = g$

A man jumps to a height of 2m on surface of A is h = 2m

$h_{A} = \frac{u^{2}}{2 (g_{A})} = \frac{u^{2}}{2 (9 g)} = \frac{u^{2}}{18 g} = 2$

$h_{B} = \frac{u^{2}}{2 (g_{B})}$

$\frac{h_{A}}{h_{B}} = \frac{1}{9} \Rightarrow h_{B} = 9 \times h_{A} = 9 \times 2 = 18 m$

The man jumps to a height of 18m on the surface of B

Watch 3-min video & get full concept clarity