JEE Advanced2017PhysicsRay OpticsActual
A monochromatic light is travelling in a medium of refractive index n = 1.6 . It enters a stack of glass layers from the bottom side at an angle θ = 30 ° . The interfaces of the glass layers are parallel to each other. The refractive indices of different glass layers are monotonically decreasing as n m = n – m Δ n where n m is the refractive index of the m t h slab and Δ n = 0.1 (see the figure). The ray is refracted
Correct answer
0
Step-by-step solution
Applying snell's law between entry & exit surfaces, n sin θ = μ sin π 2 ⇒ 1.6 sin 30 o = μ sin π 2 ∴ μ = 0.8 ∴ 0.8 = n - m Δ n = 1.6 - m × 0.1 ∴ m = 8