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 $$r \ll R$$, and the surface tension of water is T, value of r just before bubbles detach is: (density of water is $$\rho_w$$)

A

$$R^2\sqrt{\frac{2\rho_w g}{3T}}$$

B

$$R^2\sqrt{\frac{\rho_w g}{6T}}$$

C

$$R^2\sqrt{\frac{\rho_w g}{T}}$$

D

$$R^2\sqrt{\frac{3\rho_w g}{T}}$$