A jeweler is determining the optical properties of an unknown blue gemstone. She uses an angle of incidence of 62°, and measures an angle of refraction of 30°. Assuming the index of refraction of air is 1.0, what is the index of refraction of the gem?

n = 1.76

Explanation:

According to the rule of ( n1 sin theta1 = n2 sin theta2 )

we know both angles so we insert them to the law and apply n1 = 1

so 1/2 = n2 sin 62 and we get the final answer

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