A spherical soap bubble is blown such that its radius increases at a constant rate. Which of following curves represents power required to increase surface energy of the bubble versus radius of drop.

Engineering

Physics

Surface Tension

Question

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Surface energy = (8πr²)T

$p = \frac{d}{dt} (8 {πr}^{2} T) = 8 πT (2 r \frac{dr}{dt})$

$\Rightarrow p \propto r$

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