Consider three concentric soap bubbles of radius $\frac{R}{n}$ ; R and nR as shown. Surface tension for each bubble is T and atmospheric pressure is $P_{0}$ . Value of n for which pressure (P) of gas inside smallest bubble is minimum ( n is integer greater than 1 ) :-

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Pressure inside smallest bubble P = P 0 ​ + nR 4 T ​ + R 4 T ​ + R 4 nT ​ for n > 1 value of P increases with increase in n so for n = 2 , P is minimum.

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