A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°)

Question

A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 38.0°.

(a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.
First surface:
?incidence = _____ °
?refraction= _____°



Second surface:
?incidence = _______ °
?refraction= _______ °

(b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces.
?reflection = ____ ° (first surface)
?reflection =_____ ° (second surface)

Explanation / Answer

a) If a is the angle of refraction at the first face: sin(41) / sin(a) = 1.5 a = 25.9 deg. The angle of incidence at the second face is: 60 - a. If b is he angle of refraction at the second face: sin(b) / sin(60 - a) = 1.5 b = 57.1 deg. (b) Angle of incidence = angle of reflection. 41 deg. at the first surface. 60 - a = 34.1 deg. at the second face

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