A ray of light travels from air into another medium, making an angle of 1 = 45.0

Question

A ray of light travels from air into another medium, making an angle of 1 = 45.0

A ray of light travels from air into another medium, making an angle of = 45.0 degree with the normal as in the figure below. (a) Find the angle of refraction if the second medium is fused quartz. (The index of refraction for fused quartz is 1.458.) (b) Find the angle of refraction if the second medium is flint glass. (The index of refraction for flint glass is 1.66.) (c) Find the angle of refraction if the second medium is polystyrene. (The index of refraction for polystyrene is 1.49.)

Explanation / Answer

apply snells law na sinA = nb sin B

where A is angle of incidence, B is angle of Refraction

na and nb are refractive index
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a. sin B = sin 45/1.458 = 0.484

B = 29.01 deg
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b   sin B = sin 45/1.66

sin B = 0.4259

B = 25.21 deg

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c. sin B = sin 45/(1.49)

sinB = 0.474

B = 28.33 deg

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