Two soap bubbles of radius 
and 
combine isothermally to form a new soap bubble. Find the radius of the new soap bubble formed
Text Solution
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Radius of first soap bubble is 
Radius of first soap bubble is 
Let, 
, be the excess pressure inside first soap bubble and volume of first soap bubble respectively.
be the excess pressure inside second soap bubble and volume of second soap bubble respectively.
be the excess pressure inside new soap bubble, volume and radius of new soap bubble respectively.
The two bubbles combine isothermally, hence
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