Stephen is given a large crystal and needs to it is a diamond or cubic zirconia....

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Stephen is given a large crystal and needs to it is a diamond or cubic zirconia. He shines a beam of light at a 40.1 angle up

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Answer 1

Answer #1

n_d = index of refraction for diamond = 2.419

n_z = index of refraction for zirconia = 2.176

n_a = index of refraction of air = 1

= angle of incidence = 40.1 deg

r_d = angle of refraction in case of diamond

r_z = angle of refraction in case of zirconia

Using snells law for diamond

n_a Sin = n_d Sinr_d

(1) Sin40.1 = (2.419) Sinr_d

r_d = 15.4 deg

Using snells law for cubic zirconia

n_a Sin = n_z Sinr_z

(1) Sin40.1 = (2.176) Sinr_z

r_z = 17.2 deg

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Answer 2

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