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MHT CET 2023 (13 May, Shift 2) · Surface Energy & Work Done

Surface Energy & Work Done question from MHT CET 2023 (13 May, Shift 2)

Q17MHT CET 2023 · 13 MAY · SHIFT 2Medium

Surface Energy & Work Done

If work done in blowing a soap bubble of volume VV is WW, then the work done in blowing the bubble of volume 2V2V from same soap is

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Answer: (d)

  1. W=8πr2T∝r2W = 8\pi r^2 T \propto r^2 and V∝r3V \propto r^3, so W∝V2/3W \propto V^{2/3}.
  2. W′W=22/3=(4)1/3\dfrac{W'}{W} = 2^{2/3} = (4)^{1/3}
  3. So the answer is (d) (4)1/3W(4)^{1/3}W.
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