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EASY MONEY HERE BOIS. Number 9 I already answered. The answer is answer choice 2

ID: 1378186 • Letter: E

Question

EASY MONEY HERE BOIS. Number 9 I already answered. The answer is answer choice 2.

Number 10 seems so trivial yet I can't get it. I attempted to arcsin(1/1.64)= 37.57degrees. This however is NOT the correct answer

An optical fiber is made of a clear plastic for which the index of refraction is 1.64. The light remains in the fiber if the angle alpha as measured from the surface is greater than a certain value alpha c. less than a certain value alpha c. equal to a certain value alpha c. What is the value of alpha c defined in the previous question for the given refractive index 1.64 of the fiber. Answer in units of degree.

Explanation / Answer

n1 = 1.64

sin-1 (1 / 1.64) = 37.57 deg

For angles greater that 37.57o with respect to the normal or for angles smaller than

90o - 37.57o = 52.43o with respect to the surface the light remains contained within the fiber.