Question

A ball is dropped from height $h$ and another from $2h$. The ratio of time taken by the two balls to reach ground is:

• A. $1:\sqrt{2}$
• B. $\sqrt{2}:1$
• C. $2:1$
• D. $1:2$

Answer 1

The correct option is A $1:\sqrt{2}$

Using equation of motion
$s=ut+\frac{1}{2}g{t}^2$,
Given $s=h,u=0$
$\therefore t=\sqrt{\frac{2h}{g}}$
So, ratio of time taken: $\frac{t_1}{t_2}=\sqrt{\frac{h_1}{h_2}}=\sqrt{\frac{h}{2h}}$$=$$\frac{1}{\sqrt{2}}$