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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

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a

R/2

b

R/5

c

R/10

d

R/6

answer is D.

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Detailed Solution

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

$R^{3} = 1000 r^{3} \Rightarrow R = 10 r \Rightarrow r = \frac{R}{10}$

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