Question

State whether true or false.
Two balls are dropped from heights $h_1$ and $h_2$ respectively. The ratio of their velocities on reaching the ground is equal to $\sqrt{h_1}:\sqrt{h_2}$

• A. True
• B. False

Answer 1

The correct option is A True

Initial velocity $u=0$

Acceleration $a=g$

Using $v^2-u^2=2aS$

Or $v^2-0=2gh$

$⟹v=\sqrt{2gh}$

We get $v\propto sqrth$

$⟹v_1:v_2=\sqrt{h_1}:\sqrt{h_2}$