JEE MAIN - Physics (2024 - 6th April Morning Shift - No. 21)
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 ________.
Answer
1
Explanation
$$R_{\text {big }}=10 R_{\text {small }}$$
$$ \Rightarrow {{{E_{1000}}} \over {{E_{big}}}} = {{1000 \times T \times 4\pi {{\left[ {{{{R_{big}}} \over {10}}} \right]}^2}} \over {T \times 4\pi R_{big}^2}} = {{10} \over 1}$$
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