NTSE Stage 2 SAT 2016 Question Paper

Question : 33 of 100

Marks: +1, -0

A ray of light in air is incident on an equilateral glass prism at an angle

\θ_\i

to the normal. After refraction, the light travelled parallel to the base of prism and emerged in air at an angle

\θ_\e

to the normal. If the angle between the incident and the emergent rays is 60°, then the refractive index of glass with respect to air is

Solution:

\r_1=\r_2

For minimum deviation condition

\μ ={\sin({\A(\δ_\m)}/2)}/{\sin{\A/2}}

\μ={\sin({60+60}/2)}/{\sin{60/2}}={\sin60}/{\sin 30}=√3=1.73

So the refractive index of glass w.r.t air is1.73.

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