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)`)

Options

A. `R^(2)sqrt((rho_(w)g)/(T))`
B. `R^(2)sqrt((3rho_(W)g)/(T))`
C. `R^(2)sqrt((rho_(w)g)/(3T))`
D. `R^(2)sqrt((rho_(w)g)/(6T))`

Answer

B