If the work done in blowing a bubble of volume V is W , then the work done in blowing the bubble of volume 2 V from the same soap solution will be

Step-by-step solution

As volume of the bubble v = 4 3 π R 3 ⇒ R = 3 4 π 1 / 3 V 1 / 3 ⇒ R 2 = 3 4 π 2 / 4 V 2 / 3 ⇒ R 2 α V 2 / 3 Work done in blowing a soap bubble W = 8 π R 2 T ⇒ W ∝ R 2 ∝ V 2 / 3 ∴ W 2 W 1 = V 2 V 1 2 / 3 = 2 V V 2 / 3 = 2 2 / 3 = 4 1 / 3 ⇒ W 2 = 4 3 W