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The critical angle for light traveling from a particular type of glass into air is 39.1 degrees. What is the index of refraction of the glass?

Answer :

Final answer:

To calculate the index of rerefraction of the glass with a critical angle of 39.1 degrees, use Snell's Law relationship for the critical angle, yielding an index of rerefraction of the glass of approximately 1.59.

Explanation:

The critical angle for light traveling from a particular type of glass into air is given as 39.1 degrees. To find the index of refraction of the glass, we use Snell's Law, specifically the relationship involving the critical angle which can be written as: sin(θc) = n2 / n1 Where θc is the critical angle, n1 is the index of refraction of the first medium (glass, in this case), and n2 is the index of refraction of the second medium (air). We are given that the refractive index of air is approximately 1. Since the sine of 39.1 degrees is approximately 0.629, we can set up the equation: 0.629 = 1 / n1 By solving for n1, we get n1 ≈ 1.59. Therefore, the index of rerefraction of the glass is approximately 1.59.

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