JEE Main 2024 — 1 February, Shift 2 — Question 37

Lets say radius of small droplets is $r$ and that of big drop is $R$

$\frac{4}{3} \pi \mathrm{R}^{3}=1000 \frac{4}{3} \pi \mathrm{r}^{3}$

$\mathrm{R}=10 \mathrm{r}$

$\mathrm{U}_{\mathrm{i}}=1000\left(4 \pi \mathrm{r}^{2} \mathrm{~S}\right)$

$\mathrm{U}_{\mathrm{f}}=4 \pi \mathrm{R}^{2} \mathrm{~S}$ $=100\left(4 \pi r^{2} S\right)$

$\mathrm{U}_{\mathrm{f}}=\frac{1}{10} \mathrm{U}_{\mathrm{i}}$