MHT CET · Physics · Mechanical Properties of Fluids
The amount of work done in blowing a soap bubble such that its diameter increases from \(d_1\) to \(d_2\) is ( \(T=\) surface tension of soap solution)
- A \(4 \pi\left(\mathrm{~d}_2^2-\mathrm{d}_1^2\right) \mathrm{T}\)
- B \(8 \pi\left(\mathrm{~d}_2^2-\mathrm{d}_1^2\right) \mathrm{T}\)
- C \(\pi\left(\mathrm{d}_2^2-\mathrm{d}_1^2\right) \mathrm{T}\)
- D \(2 \pi\left(\mathrm{~d}_2^2-\mathrm{d}_1^2\right) \mathrm{T}\)
Answer & Solution
Correct Answer
(D) \(2 \pi\left(\mathrm{~d}_2^2-\mathrm{d}_1^2\right) \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\(W = T \cdot \Delta A_{total}\) \(A_{total} = 2 \times 4\pi (d/2)^2 = 2\pi d^2\)
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