First slide

Surface tension and surface energy

Question

Radius of a soap bubble is increased from R to 2R work done in this process in terms of surface tension is

Moderate

A

$24 π R^{2} S$
B

$48 π R^{2} S$
C

$12 π R^{2} S$
D

$36 π R^{2} S$

Solution

$W = 8 π S (R_{2}^{2} - R_{1}^{2}) = 8 π S [{(2 R)}^{2} - R^{2}] = 24 π R^{2} S$

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