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Find the common radius of curvature when...

Find the common radius of curvature when two soap bubbles with radii `r_(1)`

A

`r=(r_(1)+r_(2))/(2)`

B

`r=(r_(1)+r_(2))/(r_(1)-r_(2))`

C

`r=(r_(1)r_(2))/(r_(1)+r_(2))`

D

`r=sqrt(r_(1)r_(2))`

Text Solution

Verified by Experts

Let `p_(0)` = atmosphere pressure `p_(1)` and `p_(2)` are pressure differernce across the common surface .

Let r= radius ofcurvature of the common surface.
`p_(2)-p_(1)=(4S)/(r)`
`(4S)/(r)=(4S)/(r_(2))-(4S)/(r_(1))` " "` (S=surface tension)
`(1)/(r)=(1)/(r_(2))-(1)/(r_(1))rArr(r_(1)r_(2))/(r_(1)-r_(2))`
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