MHT CET · Physics · Mechanical Properties of Fluids
If ' \(\mathrm{T}^{\prime}\) is the surface tension of a soap solution, then the work done in blowing a soap
bubble from diameter 'D' to diameter '2D' is
- A \(2 \pi \mathrm{TD}^{2}\)
- B \(4 \pi \mathrm{TD}^{2}\)
- C \(8 \pi \mathrm{TD}^{2}\)
- D \(6 \pi \mathrm{TD}^{2}\)
Answer & Solution
Correct Answer
(D) \(6 \pi \mathrm{TD}^{2}\)
Step-by-step Solution
Detailed explanation
\(W=\frac{4 \pi}{4}\left(4 D^{2}-D^{2}\right) T \times 2\)
\(=3 \mathrm{D}^{2} \pi \mathrm{T} \times 2=6 \mathrm{D}^{2} \pi \mathrm{T}\)
\(=3 \mathrm{D}^{2} \pi \mathrm{T} \times 2=6 \mathrm{D}^{2} \pi \mathrm{T}\)
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