A glass plate of uniform thickness $$t$$ and refractive index $$\mu$$ is as shown in the diagram. AB is the incident ray and FG is the emergent ray. The angles of incidence and refraction are $$i$$ and $$r$$ respectively. The perpendicular distance FC = x between the incident and the emergent rays is called the lateral shift. Then

A

$$x = t\left(\sin i - \frac{\cos i \sin r}{\cos r}\right)$$

B

x depends on refractive index $$\mu$$

C

x is independent of the wavelength $$\lambda$$ of light

D

Maximum value of $$x=t$$ when i is close to $$90^\circ$$