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Question: Answered & Verified by Expert
The work done in blowing a soap bubble of radius $R$ is $W_1$ and that of radius $2 R$ is $W_2$. The ratio of $W_1$ to $W_2$ is
PhysicsMechanical Properties of FluidsMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A 1:4
  • B 4:1
  • C 2:1
  • D 1:2
Solution:
1844 Upvotes Verified Answer
The correct answer is: 1:4
$\begin{aligned} & W_1=2\left[4 \pi r^2 T\right] \\ & W_2=2\left[4 \pi(2 r)^2 T\right] \\ & \Rightarrow \frac{W_1}{W_2}=\frac{1}{4}\end{aligned}$

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