An air bubble of radius $$2\,\text{mm}$$ at a depth $$12\,\text{m}$$ below the surface of water at temperature $$8^\circ\text{C}$$ rises to the surface where the temperature is $$16^\circ\text{C}$$. Neglecting the effect of surface tension, the radius of the bubble at the surface is estimated to be

A

$$2.56\,\text{mm}$$

B

$$2.61\,\text{mm}$$

C

$$2.86\,\text{mm}$$

D

$$4.45\,\text{mm}$$