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:

Step-by-step solution

d V d t = k ⇒ V = k t ⇒ 4 3 π r 3 = k t ⇒ r = 3 k 4 π 1 3 t 1 3 P - P 0 = 4 T r ⇒ P - P 0 = 4 T . 3 k 4 π 1 3 . 1 t 1 3   ⇒ P = 4 T . 3 k 4 π 1 3 . 1 t 1 3   + P 0