Question

The figure below shows the path of a beam of light through several layers with different...

The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n4 = 1.10.)

(a) If θ1 = 32.0°, what is the angle θ2 of the emerging beam?

(b) What is the smallest incident angle θ1 to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n4 = 1.10?

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Answer #1

a)

given

n4 = 1.10

if θ1 = 32 degrees

from the relation

n1sin θ1 = n2sin θ2

θ2 = sin^-1(1.6*sin32/1.1) = 50.425 degrees

b)

θ1 = sin^-1(1.10*sin90/1.60) = 43.4 degrees

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