First slide

Surface tension

Question

A very long cylindrical shaped soap bubble in air has radius R. Calculate the excess pressure inside the bubble. [Surface tension of soap solution = S]

Easy

A

$\frac{2 S}{R}$
B

$\frac{4 S}{R}$
C

$\frac{S}{R}$
D

$\frac{S}{2 R}$

Solution

$∆ P = 2 S (\frac{1}{r_{1}} + \frac{1}{r_{2}}) = 2 S (\frac{1}{\infty} + \frac{1}{R}) = \frac{2 S}{R}$

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