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  4. A big drop of radius R is formed by 1000 small droplets of water, then the radius of small drop is

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Q. A big drop of radius $R$ is formed by $1000$ small droplets of water, then the radius of small drop is

NTA AbhyasNTA Abhyas 2020

Solution:

$\frac{4}{3}\pi R^{3}=1000\times \frac{4}{3}\pi r^{3}$
(As volume remains constant)
$R^{3}=1000r^{3}\Rightarrow R=10r\Rightarrow r=\frac{R}{10}$