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Magnetism> To soap bubbles coalesce (please see imag...

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To soap bubbles coalesce (please see image for question)

Arihant , 8 Years ago

Grade 12

1 Answers

Eshan

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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