MCQ
The amount of work done in blowing a soap bubble such that its diameter increases from $d$ to $D$ is ( $T$ = surface tension of the solution)
  • A
    $4 \pi\left(D^2-d^2\right) T$
  • B
    $8 \pi\left(D^2-d^2\right) T$
  • C
    $\pi\left(D^2-d^2\right) T$
  • $2 \pi\left(D^2-d^2\right) T$

Answer

Correct option: D.
$2 \pi\left(D^2-d^2\right) T$
$ W=T \times 8 \pi\left(r_2^2-r_1^2\right)=T \times 8 \pi\left(\frac{D^2}{4}-\frac{d^2}{4}\right)$
$ =2 \pi\left(D^2-d^2\right) T$

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