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Classical Mechanics Level 3

Two spherical soap bubbles made of same liquid solutions are carefully pressed against each other. It is observed that their intersection results in a newer sphere along their common surface AB. the radius of lager bubble is "b" and that of smaller bubble is "a". Find the radius of the common surface (in cm). You make take surface tension of liquid solution as "T".

NOTE - \textbf{NOTE -}

a= 4 cm \textbf{a= 4 cm}

b= 5 cm \textbf{b= 5 cm}

T= 50 mN/metre \textbf{T= 50 mN/metre}


The answer is 20.

Avineil Jain by Avineil Jain , 24, Netherlands

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1 solution

1 r = 1 r 1 − 1 r 2 \frac{1}{r} = \frac{1}{r_1} - \frac{1}{r_2} where r 1 r_1 and r 2 r_2 are the individual radii of the bubbles of same solution and r r is the radius of the common surface.

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