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Sample Problem 1: Speed and Frequency of Light Leaving an Optical Fiber

Light moving from an optical fiber to air changes wavelength from 452nm to 633nm.

A.
What is the index of refraction of the fiber?
B.
What is the speed of light in the fiber?
C.
What is the frequency of the light in the fiber?
D.
What is the frequency of the light in air?
A.
Since we do not have five digits of accuracy in this problem, we can assume that the wavelength of light in air, air = 633 nm is the wavelength of the light in vacuum 0.


The index of refraction inside the fiber is 1.40.

B.
From the definition of n, we have


The speed of light inside the fiber is 2.14 x 108m/s.

C.
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