A ray of light entering from air into a denser medium of refractive index $$\frac{4}{3}$$, as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle $$\theta$$ should be equal to:

A

$$\sin^{-1}\frac{\sqrt{7}}{3}$$

B

$$\sin^{-1}\frac{\sqrt{5}}{4}$$

C

$$\sin^{-1}\frac{\sqrt{7}}{4}$$

D

$$\sin^{-1}\frac{\sqrt{5}}{3}$$