A ray LM of monochromatic light incident normally on one refracting surface AB of a regular glass prism ABC emerges in air from the adjacent surface AC as shown in Figure 2. Calculate the refractive index of the material of the prism.

Since, it is a regular glass prism.

So ∠A = 60°

∴ ∠MNP = 60°

Refractive index μ of the prism is given by,

sin $angle MNP space equals space 1 over straight mu$
$straight mu space equals space fraction numerator 1 over denominator sin space 60 to the power of straight o end fraction straight mu space equals space fraction numerator 1 over denominator square root of 3 divided by 2 end fraction space equals space fraction numerator 2 over denominator square root of 3 end fraction$

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