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MHT CET 2021 (24 Sep, Shift 1) · Surface Energy & Work Done

Surface Energy & Work Done question from MHT CET 2021 (24 Sep, Shift 1)

Q26MHT CET 2021 · 24 SEP · SHIFT 1Medium

Surface Energy & Work Done

The work done in blowing a soap bubble of volume 'VV' is 'WW'. The work required to blow a soap bubble of volume '2V2V' is [T=T = surface tension of soap solution]

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Answer: (a)

  1. W=8πr2T∝r2W = 8\pi r^2 T \propto r^2, and r∝V1/3r \propto V^{1/3}, so W∝V2/3W \propto V^{2/3}.
  2. W′=22/3WW' = 2^{2/3} W
  3. So the answer is (a) 22/3W2^{2/3}W.
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