Two balls are dropped from heights h and 2h respectively from earth surface. ratio of time of these

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2.Motion in Straight Line

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Two balls are dropped from heights $h$ and $2h$ respectively from the earth surface. The ratio of time of these balls to reach the earth is

A

$1:\sqrt 2 $

B

$\sqrt 2 $ $: 1$

C

$2:1$

D

$1:4$

Solution

(a)$t = \sqrt {\frac{{2h}}{g}} \Rightarrow \frac{{{t_1}}}{{{t_2}}} = \sqrt {\frac{{{h_1}}}{{{h_2}}}} = \sqrt {\frac{1}{2}} = \frac{1}{{\sqrt 2 }}$

Standard 11

Physics

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