Question

A body released from a height h takes time t to reach earth’s surface. The time taken by the same body released from the same height to reach the moon’s surface is

• A. $t$
• B. $6t$
• C. $\sqrt{6}t$
• D. $\frac{t}{6}$

Answer 1

The correct option is C

$\sqrt{6}t$

If body falls from height h then time of descent

$t=\sqrt{\frac{2h}{g}}\Rightarrow \frac{t_{moon}}{t_{earth}}=\sqrt{\frac{g_{earth}}{g_{moon}}}=\sqrt{6}\Rightarrow t_{moon}=\sqrt{6}t.$