Question

A big drop of radius R is formed from 1000 droplets of water. The radius of a droplet will be 

(A) 10 R

(B) \(\frac{R}{10}\)

(C) \(\frac{R}{100}\)

(D) \(\frac{R}{1000}\)

Answer 1

Correct Option is (B) \(\frac{R}{10}\)

When a big drop is formed from 1000 droplets of water.

\(\frac{4}{3} \pi R^3 = 1000 \frac{4}{3} \pi r ^3\)

\(R^3 = 1000 r ^3\)

\(R = 10r\)

\(r = \frac{R}{10}\)

Answer 2

 (B) \(\frac{R}{10}\)