A ball is dropped from height h and another from (2h.) The r... | Physics | SolveeIt | Solveeit

Today, August 18

Question

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

A

$1 : \sqrt{2}$

B

$\sqrt{2} : 1$

C

$2 : 1$

D

$1 : 2$

Answer

$1 : \sqrt{2}$

Explanation

Solution

As we know that, $t =\sqrt{\frac{2 h }{ g }}$ and $t'=\sqrt{\frac{2(2 h )}{ g }}$ $\therefore \frac{ t }{ t ^{\prime}}=\frac{1}{\sqrt{2}}$