Question

A big drop of radius R is formed by 1000 small droplets of water. The radius of small drop is :

A
R10
B
R100
C
R500
D
R1000

Solution

The correct option is A $$\dfrac {R}{10}$$ When thousand droplets are mixed the volume of water remains same. i.e.1000 $$\times$$ volume of small droplet = volume of bigger droplet$$1000 \times \dfrac{4}{3}\pi r^3=\dfrac{4}{3}\pi R^3 \\\Rightarrow 1000r^3=R^3 \\\Rightarrow 10r=R \\\Rightarrow r=\dfrac{R}{10}$$Physics

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