devarshi-dt-logo

Question:

A soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by:

Solution:

V = ct
4/3πr³ = ct
r = k t^(1/3)
P = P₀ + 4T/r
P = P₀ + 4Tk⁻¹t⁻¹/³