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MHT CET 2025 (23 Apr, Shift 2) · Surface Energy & Work Done

Surface Energy & Work Done question from MHT CET 2025 (23 Apr, Shift 2)

Q11MHT CET 2025 · 23 APR · SHIFT 2Medium

Surface Energy & Work Done

The amount of work done in blowing a soap bubble such that its diameter increases from d1d_1 to d2d_2 is ( T=T = surface tension of soap solution)

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Answer: (d)

  1. Two surfaces: W=8πT(r22−r12)W = 8\pi T (r_2^2 - r_1^2) with r=d/2r = d/2.
  2. W=8πTd22−d124=2π(d22−d12)TW = 8\pi T \dfrac{d_2^2 - d_1^2}{4} = 2\pi(d_2^2 - d_1^2)T
  3. So the answer is (d) 2π(d22−d12)T2\pi(d_2^2-d_1^2)T.
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