SATHEE: Optics 2 Question 25

Optics 2 Question 25

25. 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 $θ = 30^{\circ}$ . 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 $m$ th slab and $Δ n = 0.1$ (see the figure). The ray is refracted out parallel to the interface between the $(m - 1)$ th and $m$ th slabs from the right side of the stack. What is the value of $m$ ?

(2017 Adv.)

Analytical & Descriptive Questions

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Answer:

Correct Answer: 25. 8

Solution:

But this value of refractive index is not possible.

$\begin{aligned} 1.6 \sin θ = (n - m Δ n) \sin 90^{\circ} \\ 1.6 \sin θ = n - m Δ n \end{aligned}$

$$ \begin{aligned}

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Optics 2 Question 25

Analytical & Descriptive Questions

Answer:

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