A ray of light incident at 49° on the face of an equilateral prism passes symmetrically. Calculate the refractive index of the material of the prism.

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Solution

The prism given is an equilateral prism.
Angle of prism, A = 60°.
Angle of incidence, i = 49^o

Since the ray of light passes symmetrically, the prism is in the position of minimum deviation.
This implies,
Angle of reflection,

r = A / 2 = \frac{60 °}{2} = 30 °

∴

Refractive index,

μ = \frac{\sin i}{\sin r}

= \frac{\sin 49 °}{\sin 30 °} = \frac{0.7547}{0.5}

i.e.,

μ = 1.5 .

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Wave Optics

A ray of light incident at 49° on the face of an equilateral prism passes symmetrically. Calculate the refractive index of the material of the prism.

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