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TS EAMCET · Physics · Mechanical Properties of Fluids

A soap bubble of radius \(r\) is blown up to form a bubble of radius \(2 r\) under isothermal conditions. If \(T\) is the surface tension of soap solution, the energy spent in the blowing

  1. A \(3 \pi T r^2\)
  2. B \(6 \pi T r^2\)
  3. C \(12 \pi T r^2\)
  4. D \(24 \pi T r^2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(6 \pi T r^2\)

Step-by-step Solution

Detailed explanation

Initially area of soap bubble \(A_1=4 \pi r^2\) Under isothermal condition radius becomes \(2 r\), Then, \(\quad\) area \(A_2=4 \pi(2 r)^2\) \(\begin{aligned} & =4 \pi \cdot 4 r^2 \\ & =16 \pi r^2 \end{aligned}\) Increase in surface area…
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