If the surface tension of a soap solution is $3 \times 10^{-2} \mathrm{~N} / \mathrm{m}$, then the work done…

If the surface tension of a soap solution is $3 \times 10^{-2} \mathrm{~N} / \mathrm{m}$, then the work done in forming a soap film of $20 \mathrm{~cm} \times 5 \mathrm{~cm}$ will be
  1. $6 \times 10^{-3} \mathrm{~J}$
  2. $6 \times 10^{-4} \mathrm{~J}$
  3. $6 \times 10^{-2} \mathrm{~J}$
  4. $6 \mathrm{~J}$

Solution

$\begin{aligned} W &=2 T \times A \\ &=2 \times 3 \times 10^{-2} \times 100 \times 10^{-4} \\ &=6 \times 10^{-4} \mathrm{~J} \end{aligned}$

Asked in: MHT CET 2020 (19 Oct Shift 2)

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