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