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

Question

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, W, 2 W, 2 3 W, 4 3 W

MARKS App · Accepted Answer

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

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