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

Physical Quantities

Mechanical Power

Surface Tension and Surface Energy

Question

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.

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Surface energy = (8πr²)T

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

$\Rightarrow p \propto r$