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  • Work W is required to be done to form a spherical bubble of volume V from a given soap solution. How much work is needed to form a spherical bubble of volume 2 V ?<div class='qna

Work W is required to be done to form a spherical bubble of volume V from a given soap solution. How much work is needed to form a spherical bubble of volume 2 V ?

Option: 1

\mathrm{2 W}


Option: 2

\mathrm{\sqrt{2} W}


Option: 3

\mathrm{\left(2^{1 / 3}\right) W}


Option: 4

\mathrm{\left(4^{1 / 3}\right) W}


Answers (1)

best_answer

\mathrm{W=8 \pi r^2 \sigma . \text { Now } V=\frac{4}{3} \pi r^3 \text {. Hence }}

\mathrm{W=8 \pi \sigma\left(\frac{3 V}{4 \pi}\right)^{2 / 3} \text {, i.e. } W \propto V^{2 / 3}}

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Rishi

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