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To soap bubbles coalesce (please see image for question)

To soap bubbles coalesce (please see image for question) 

Question Image
Grade:12

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
Dear student,

Excess pressure inside the bubble with radius a is\dfrac{4T}{a}.

Excess pressure inside bubble with radius b is\dfrac{4T}{b}

If the radius of curvature of the junction is r, it is formed such that it balances the difference inside the two bubbles.

Hence\dfrac{4T}{r}=\dfrac{4T}{b}-\dfrac{4T}{a}
\implies R=\dfrac{ab}{a-b}

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