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Two spherical soap bubbles of radii a an...

Two spherical soap bubbles of radii a and b in vacuum coalesce under isothermal condition. The resulting bubbles has a radius given by …..

A

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

B

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

C

`sqrt(r_(1)r_(2))`

D

`sqrt(r_(1)^(2)+r_(2)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
d
Boyle.s law for isothermal process,
`PV=P_(1)V_(1)+P_(2)V_(2)`
Here ,`P=P_(i)-P_(o),P_(1)=P_(i)-P_(o),P_(2)P_(i)-P_(o)`
`P=P_(i)-P_(o),P_(1)=P_(i)-P_(o),P_(2)P_(i)-P_(o)`
`thereforeR^(2)=r_(1)^(2)+r_(2)^(2)thereforeR=sqrt(r_(1)^(2)+r_(2)^(2))`
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