A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and

Question

A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, then the angle of incidence is nearly equal to :

Accepted Answer

Light ray emerges normally, so $e = 0$. Thus $r_2 = 0$. Since $r_1 + r_2 = A$, we have $r_1 = A$. Applying Snell's law on the first surface: $1 \cdot \sin i = \mu \sin r_1$. For small angles, $\sin 	heta \approx 	heta$, so $i = \mu A$.

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