Windshield contains 2.00 mm thick glass with an index of refraction of 1.518 and is coated with a 0.700 µm thick layer of methanol (n=1.329). There is the air surrounding the whole system . A ray of sunlight passes through the air and impinges on the methanol layer with an angle of 30.0° relative to the normal. a) What is the angle of refraction of the light at the air→methanol interface? b) What is the speed of light in methanol?  c) Is there total internal reflection at the methanol→ glass interface? Explain.  d) What wavelength(s) of visible light will be only weakly reflected off of the air→ methanol interface? Note that visible light is from 380-750 nm and that “weakly reflected” means less light reaches an observer’s eye than would be normally expected.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter25: Reflection And Refraction Of Light
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Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...
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Windshield contains 2.00 mm thick glass with an index of refraction of 1.518 and is coated with a 0.700 µm thick layer of methanol (n=1.329). There is the air surrounding the whole system . A ray of sunlight passes through the air and impinges on the methanol layer with an angle of 30.0° relative to the normal.

a) What is the angle of refraction of the light at the air→methanol interface?

b) What is the speed of light in methanol? 

c) Is there total internal reflection at the methanol→ glass interface? Explain. 

d) What wavelength(s) of visible light will be only weakly reflected off of the air→ methanol interface? Note that visible light is from 380-750 nm and that “weakly reflected” means less light reaches an observer’s eye than would be normally expected. 

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