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On heating water, bubbles beings formed ...

On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spherese of radius `R` and making a circular contact of radius r with the bottom of the vessel. If `rlt ltR` 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((rho_(w)g)/(3T))` (b) `R^(2) sqrt((rho_(w)g)/(6T))` (c) `R^(2) sqrt((rho_(w)g)/(T))` (d) `R^(2) sqrt((3rho_(w)g)/(T))`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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