First slide

Rectilinear Motion

Question

A ball is dropped from a height ‘h’ and another from height 4h. The ratio of time taken by the two balls to reach ground is……..

Easy

A

$1 : 2$
B

$2 : 1$
C

$1 : \sqrt{2}$
D

$\sqrt{2} : 1$

Solution

The time of fall of a freely falling body
$\begin{array}{l} t = \sqrt{\frac{2 h}{g}} \\ \Rightarrow t α \sqrt{h} \\ = \frac{t_{1}}{t_{2}} = \sqrt{\frac{h^{1}}{h_{2}}} \\ = \sqrt{\frac{h}{4 h}} = \frac{1}{2} \end{array}$

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