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Excess Pressure in Bubbles

The excess pr...

Question

The excess pressure inside a spherical soap bubble of radius $1 c m$ is balanced by a column of oil (specific gravity $= 0.8), 2 m m$ high, the surface tension of the bubble is :

3.92 N / m

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0.0392 N / m

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0.392 N / m

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0.00392 N / m

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Solution

The correct option is B $0.0392 N / m$
The excess pressure of soap bubble
$p = \frac{4 T}{R}$
or $h ρ g = \frac{4 T}{R} (∵ p = h ρ g)$
$∴ T = \frac{R h ρ g}{4}$
$= \frac{1 \times 10^{- 2} \times 2 \times 10^{- 3} \times 0.8 \times 10^{3} \times 9.8}{4}$
$= 0.0392 N / m$ .

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