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  • A circular wire frame of radius is dipped in a soap solution of surface tension <img alt="\mathrm{\ma

A circular wire frame of radius \mathrm{R} is dipped in a soap solution of surface tension \mathrm{\mathrm{s}.} When it is taken out a thin soap film is formed inside the frame. The force on the frame will be

Option: 1

\mathrm{\pi \sigma R}


Option: 2

\mathrm{2 \pi \sigma R}


Option: 3

\mathrm{4 \pi \sigma R}


Option: 4

\mathrm{8 \pi \sigma R}


Answers (1)

best_answer

Total length of wire is \mathrm{L=2 \pi R}.

Since the film is in air, force on frame \mathrm{=2 \sigma \times L=2 \sigma \times 2 \pi R=4 \pi \sigma R.}

Hence the correct choice is (c).

Posted by

Riya

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