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If a soap bubble of radius 3 cm coalesce...

If a soap bubble of radius 3 cm coalesce under isothermal conditions with another soup bubble of radius 4 cm, find the radius of the big soap bubble so formed.

Text Solution

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`r_(1)=3cm,r_(2)=4cm`, Let R be the radius of the big drop
Surface energy of big drop = Surface energy of first drop + Surface energy of second drop
`therefore8piR^(2)=8pir_(1)^(2)+8pir_(2)^(2),R=sqrt(r_(1)^(2)+r_(2)^(2))=sqrt(3^(2)+4^(2))=5cm`.
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