Question #125508

If the light ray moves from inside the glass toward the glass-air interface at an angle of 35.0° to the normal, determine the angle of refraction. The ray bends ________° away from the normal, as expected.


1
Expert's answer
2020-07-07T10:02:44-0400

The angle of refraction θ2\theta_2 is given by the Snell's law:


sinθ2=n1n2sinθ1\sin \theta_2 = \dfrac{n_1}{n_2}\sin\theta_1

where θ1=35°\theta_1 = 35\degree is the angle of incidence, n1=1.52n_1 = 1.52 is the refractive ingex of glaass, n2=1n_2 = 1 is the refractive ingex of air. Thus


sinθ2=1.521sin35°0.87θ2arcsin0.8760.5°\sin \theta_2 = \dfrac{1.52}{1}\sin35\degree \approx 0.87\\ \theta_2 \approx \arcsin0.87 \approx 60.5\degree

Answer. The ray bends 60.5° away from the normal, as expected.


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