Q 11-09-063JEE MainJEE Main 2024 (6 Apr, Shift 1)Easy
A big drop is formed by coalescing 1000 small droplets of water. The ratio of the surface energy of the 1000 droplets to that of the big drop is $\dfrac{10}{x}$. The value of $x$ is ______.
Numerical value type. Enter your answer.
Answer: 1
Volume conservation: $R = 10r$. Surface energies:
$$\frac{E_{small}}{E_{big}} = \frac{1000\times4\pi r^2}{4\pi(10r)^2} = 10 = \frac{10}{1} \Rightarrow x = 1$$
Solution by Sreeraj P, M.Sc Physics