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On heating water, bubbles being formed a...

On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If `r lt lt R`, and the surface tension of water is T, value of r just before bubbles detach is : (density of water is `rho_(w)`)

A

`R^(2) sqrt( (3 rho_(w) g)/( T ) )`

B

`R^(2) sqrt(( rho_(w) g)/( 3 T))`

C

`R^(2) sqrt (( rho_(w) g)/( 6T))`

D

`R^(2) sqrt( ( 2 rho_(w) g)/( 3T))`

Text Solution

Verified by Experts

The correct Answer is:
D
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