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JEE Main 20246 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 6 April
Shift: Morning Shift
Subject: Physics
Chapter: Mechanical Properties of Fluids

JEE Main 2024 · 6 April · Morning Shift · Physics · Mechanical Properties of Fluids

A big drop is formed by coalescing 1000 small droplets of water....

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is

\frac{10}{x}

. The value of

x

is __________

Correct answer

0

Step-by-step solution

\begin{aligned} 1000 \frac{4}{3} \pi r^3 & =\frac{4}{3} \pi R^3 \\ 10 r & =R \\ R & =10 r\end{aligned}

\begin{aligned} \frac{\text{ S.E.\text{ of } } 1000 \text{ drops }}{\text{ S.E. of Big drop }} & =\frac{1000\left(4 \pi \mathrm{r}^2\right) \mathrm{T}}{4 \pi \mathrm{R}^2 \mathrm{ T}} \\ & =\frac{1000 \times \mathrm{r}^2}{(10 \mathrm{r})^2}=10=\frac{10}{\mathrm{x}} \\ \therefore \quad x & =1\end{aligned}

$

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