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A violet and a red beam of light, with wavelengths of 400nm and 700nm respectively, simultaneously strike an air-quartz interface with an incidence...

A violet and a red beam of light, with wavelengths of 400nm and 700nm respectively,
simultaneously strike an air-quartz interface with an incidence angle of 60 degrees. If the indices
of refraction for these two wavelengths through quartz are 1.56 and 1.54, (a) what are the
angles of refraction for each beam in the quartz slab? (b) Draw a sketch to scale (i.e. the
angles must be measured and drawn in by using a protractor). (c) What is the angle
between the two beams in the quartz slab? (d) If the two beams propagate in the same
direction inside the quartz, for what range of incidence angles on the quartz-air interface,
will one beam be totally internally reflected and the other not? (e) What is the angle of
refraction for the other beam in this case? (f) For what incidence angle are both beams
totally internally reflected?
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