A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices `n_(1)` and `n_(2)(gtn_(1))`, `theta_(0)`, from medium 1 and emerges in medium 2 with refraction angle `theta_(t)`with a lateral displacement l.
Which of the following statement(s) is (are) true?

Options

A. l is independent of `n_(2)`
B. l is dependent on n(z)
C. `n_(1) sin theta_(2) = n_(2) sin theta_(f)`
D. `n_(1) sin theta_(1)=(n_(2)-n_(1)) sin theta_(f)`

Answer

A, B, C