Physics - Fluid Question with Solution | TestHub

$\frac{4}{3}\pi R^3\times 2=\frac{4}{3}\pi R^{\prime 3}$ $R^{\prime }=2^{1/3}R$ Total surface energy before $=2\times 4\pi R^{2}T(T=$ surface tension $)$ Total surface energy after $=4\pi R^{\prime 2}T$ $\therefore$ Ratio $=\frac{2\times R^2}{R^{\prime 2}}=\frac{2\times R^2}{2^{2/3}{R}^2}=\frac{2}{2^{2/3}}=2^{1-\frac{2}{3}}=2^{1/3}$ $\therefore$ Ratio $=2^{1/3}:1$