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 nm = n - mΔn, where nm is the refractive index of the mth slab and Δn=0.1 (see the figure). The ray is refracted out parallel to the interface between the (m-1)th and mth slabs from the right side of the stack. What is the value of m?<p></p>

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 nm = n - mΔn, where nm is the refractive index of the mth slab and Δn=0.1 (see the figure). The ray is refracted out parallel to the interface between the (m-1)th and mth slabs from the right side of the stack. What is the value of m?

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