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  4. Radius of a soap bubble is increased from R to 2 R. Work done in this process is ( T is surface tension)

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Q. Radius of a soap bubble is increased from $R$ to $2 R$. Work done in this process is ( $T$ is surface tension)

Solution:

$W=$ change in surface energy
$W=2\left[4 \pi(2 R)^{2}-4 \pi R^{2}\right] T$
$=24 \pi R^{2} T$