A liquid column of height 0.04 cm balances excess pressure of a soap bubble of certain radius. If density of liquid is and surface tension of soap solution is 0.28 , then diameter of the soap bubble is ______ cm.

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Solution

Q.
A liquid column of height 0.04 cm balances excess pressure of a soap bubble of certain radius. If density of liquid is $8 \times 10^{3}$ $k g$ $m^{- 3}$ and surface tension of soap solution is 0.28 $N m^{- 1}$ , then diameter of the soap bubble is ______ cm. (if $g = 10$ $m s^{- 2}$ ) [2024]

Ans.
(7) $ρ g h = \frac{4 S}{R} \Rightarrow R = \frac{4 \times 0.28}{8 \times 10^{3} \times 10 \times 4 \times 10^{- 4}}$

$\Rightarrow \frac{0.28}{8} m = \frac{28}{8} c m$

$\Rightarrow R = 3.5 cm$

$Diameter = 7 cm$

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