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MHT CET 2024 (15 May, Shift 2) · Conservation of Energy

Conservation of Energy question from MHT CET 2024 (15 May, Shift 2)

Q13MHT CET 2024 · 15 MAY · SHIFT 2Medium

Conservation of Energy

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

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Answer: (d)

  1. Work in blowing a bubble W=T×2×4πr2∝r2W = T \times 2 \times 4\pi r^2 \propto r^2.
  2. V∝r3⇒r∝V1/3V \propto r^3 \Rightarrow r \propto V^{1/3}, so W∝V2/3W \propto V^{2/3}.
  3. W′=W×22/3=W(4)1/3W' = W \times 2^{2/3} = W(4)^{1/3}
  4. So the answer is (d) W(4)13W(4)^{\frac{1}{3}}.
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