The 45-45-90 triangular prism shown in the figure has an index of refraction of

Question

The 45-45-90 triangular prism shown in the figure has an index of refraction of 1.56, and is surrounded by air. A ray of light is incident on the left face at an angle of 51.0?. The point of incidence is high enough that the refracted ray hits the opposite sloping side.

The 45-45-90 triangular prism shown in the figure has an index of refraction of 1.56, and is surrounded by air. A ray of light is incident on the left face at an angle of 51.0?. The point of incidence is high enough that the refracted ray hits the opposite sloping side.

Explanation / Answer

(a) ray exits through the lower face of the prism. because the angle of first refraction, r = 29.879 degree. and Incident angle for the right face of prism is, 90 - r = 60.121 degree > critical angle = 39.868 degree. i.e. TIR happens at right face. (b) from the geometry, the incident angle for the lower face, i = 45 - r = 15.121 degree ( heta) = 9.626 degree or +9.626 degree angle is anti-clock wise as was in the start.

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