Physics - Fluid Question with Solution | TestHub

Surface energy of a bubble $$\begin{array}{l}E=\text{ Tension }\times \text{ surface area }\\ E=T\times A\end{array}$$ For soap bubble $$\begin{array}{l}E=2T\times A\\ E=2T\times 4\pi R^2\end{array}$$ Here, $R=$ radius of bubble If radius is doubled then we have $$\begin{array}{l}{E}^{\prime }=2T\times 4\pi R^2\\ E^{\prime }=2T\times 4\pi (2R{)}^2\\ E^{\prime }=32\pi R^{2}T\end{array}$$