A light ray enters through a right angled prism at point $P$ with the angle of incidence $30^{\circ}$ as shown in figure. It travels through the prism parallel to its base $B C$ and emerges along the face $A C$ . The refractive index of the prism is:

Question

A light ray enters through a right angled prism at point

P

with the angle of incidence

30^{\circ}

as shown in figure. It travels through the prism parallel to its base

B C

and emerges along the face

A C

. The refractive index of the prism is: A light ray enters through a right angled prism at point P with the angle of incidence 30^ as shown in figure. It

Quantrex Academy · Accepted Answer

Correct answer: A. 5 2

In prism, r_1+c=A gathered r_1=90^ -c (1) c=(1)/(μ) c= μ^2-1 μ gathered Apply Snell's law, on incidence surface aligned 1 · 30^ =μ (r_1) 1 × (1)/(2) & =μ × (90^ -c) (1)/(2) & =μ × μ^2-1 μ aligned On squaring (1)/(4)=μ^2-1 μ^2=(5)/(4) μ= 5 2

A light ray enters through a right angled prism at point P with the...

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