A coin is at the bottom of a beaker filled with an unknown liquid which has an index of refraction n₁. A ray of light travels from the coin to the surface of the liquid and is refracted as it enters into the air (n₂ = 1). A person sees the ray as it skims just above the surface of the liquid. (a) What is the index of refraction n₁ of the unknow liquid? (b) How fast is the light traveling in the liquid? (What is the velocity v of the light in the liquid?) Hint: use Snell's Law n₁ sin 0₁ = n₂ sin 0₂. The diagram below is confusing, first find the angle of incidence ₁ using trigonometry, the angle of refraction is 0₂ = 90.0° (it is refracting exactly at the critical angle). 00'9 -5.00 cm- Coin

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Chapter1: Units, Trigonometry. And Vectors
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A coin is at the bottom of a beaker filled with an unknown liquid which has an index
of refraction n₁. A ray of light travels from the coin to the surface of the liquid and is
refracted as it enters into the air (n₂ = 1). A person sees the ray as it skims just
above the surface of the liquid.
(a) What is the index of refraction n₁ of the unknow liquid?
(b) How fast is the light traveling in the liquid? (What is the velocity v of the light in
the liquid?)
Hint: use Snell's Law n₁ sin 0₁ = n₂ sin 0₂. The diagram below is confusing,
first find the angle of incidence ₁ using trigonometry, the angle of refraction is
0₂ 90.0° (it is refracting exactly at the critical angle).
-6.00 cm-
-5.00 cm-
Coin
Transcribed Image Text:A coin is at the bottom of a beaker filled with an unknown liquid which has an index of refraction n₁. A ray of light travels from the coin to the surface of the liquid and is refracted as it enters into the air (n₂ = 1). A person sees the ray as it skims just above the surface of the liquid. (a) What is the index of refraction n₁ of the unknow liquid? (b) How fast is the light traveling in the liquid? (What is the velocity v of the light in the liquid?) Hint: use Snell's Law n₁ sin 0₁ = n₂ sin 0₂. The diagram below is confusing, first find the angle of incidence ₁ using trigonometry, the angle of refraction is 0₂ 90.0° (it is refracting exactly at the critical angle). -6.00 cm- -5.00 cm- Coin
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