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

Answer: (C)

$\sqrt { 6 } t$

Answer 2

If body falls from height $t = \sqrt { \frac { 2 h } { g } }$

⇒ $\frac { t _ { \text {moon } } } { t _ { \text {earth } } } = \sqrt { \frac { g _ { \text {earth } } } { g _ { \text {moon } } } } = \sqrt { 6 }$ ⇒ $t _ { \text {moon } } = \sqrt { 6 } t$.