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A light beam strikes a piece of glass at an 80.00° incident angle. The beam contains two wavelengths, 450.0 nm and 700.0 nm, for which the index of refraction of the glass is 1.4820 and 1.4742, respectively. What is the angle between the two refracted beams?

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umohduke14

Answer: 1.196 degrees

Explanation:

From Snell's Law we have n1*sin(θ1) = n2*sin(θ2)

for 450nm θ2 = arcsin(n1*sin(θ1)/n2) = arcsin(1.0*sin(80)/1.4820) = 43.910 degrees

for 700nm θ2 = arcsin(n1*sin(θ1)/n2) = arcsin(1.0*sin(90)/1.4742) = 42.714 degrees

the difference = 43.910 - 42.714 = 1.196 degrees

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