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# On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius $R$ and making a circular contant fo radius $r$ with the bottom of the vessel. If $r << R$ and the surface tension of water is $T$, value of $r$ just before bubbles detatch is : (density of water is $P_w$ )

$\begin{array}{1 1}(A)\;R^2 \sqrt {\large\frac{P_wg}{T}} \\ (B)\;R^2 \sqrt {\large\frac{3P_wg}{T}} \\(C)\;R^2 \sqrt {\large\frac{P_w g}{3T}} \\(D)\;R^2 \sqrt {\large\frac{P_w g}{6T}} \end{array}$

$R^2 \sqrt {\large\frac{P_w g}{3T}}$ is correct.
Hence C is the correct answer.