A light ray is incident normally to the long face (the hypotenuse) of a 45° -45°

Question

A light ray is incident normally to the long face (the hypotenuse) of a 45° -45° -90° prism surrounded by air, as shown in the figure below. Calculate the minimum index of refraction of the prism for which the ray will totally internally reflect at each of the two sides making the right angle.

A light ray is incident normally to the long face (the hypotenuse) of a 45Â degree -45Â degree -90Â degree prism surrounded by air, as shown in the figure below. Calculate the minimum index of refraction of the prism for which the ray will totally internally reflect at each of the two sides making the right angle.

Explanation / Answer

Applying [ n sin i = constant ] to the prism-air boundary.. ..

(np= ref.index for prism material, n? = r.i for air = 1.0)
At a critical angle of incidence 45

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