A hemispherical vessel is completely filled with a liquid of refractive index $$\mu$$. A small coin is kept at the lowest point (O) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is

A

$$\sqrt{3}$$

B

$$\frac{\sqrt{3}}{2}$$

C

$$\frac{3}{2}$$

D

$$\sqrt{2}$$