Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Volume is constant

$V_1=V_2$
$\frac{4}{3}\pi R^3=n\frac{4}{3}\pi r^3$
$R^3=n{r}^3$
$r^3=\frac{R^3}{n}$
$r={\left[\frac{R^3}{n}\right]}^{\frac{1}{3}}=\frac{R}{10}$