_020 - Solution for Homework 21 Light Solution to Homework...

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Unformatted text preview: Solution for Homework 21 Light Solution to Homework Problem 21.1(Wavelength of Orange Laser) Problem: Orange light with wavelength 600nm in vacuum is incident on a material with index of refraction 50 . Calculate the velocity and frequency of the light in the material. Select One of the Following: (a) 3 × 10 8 m s , 1 × 10 13 Hz . (b) 6 × 10 6 m s , 1 × 10 13 Hz . (c) 6 × 10 6 m s , 5 × 10 5 Hz . (d-Answer) 6 × 10 6 m s , 5 × 10 14 Hz . (e) Toby Solution The velocity of light in a material is reduced by the index of refraction c n = c/n = 3 × 10 8 m s / 50 = 6 × 10 6 m s . The frequency in the material is the same as the frequency in vacuum. The frequency is related to the wavelength by f = c λ = 3 × 10 8 m s 600 × 10 − 9 m = 5 × 10 14 Hz Total Points for Problem: 3 Points Solution to Homework Problem 21.2(Measure Speed of Light with Cable) Problem: I wish to measure the speed of light by comparing transit times down two optical fibers made of different materials. Both cables are 1000m long. The index of refraction of one is 1 . 4 and the other 1 . 6 . Calculate the difference in transit time for light down the two cables. Select One of the Following: (a) 1 . 5 × 10 − 5 s (b) There is no difference, light always travels at the same speed....
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This note was uploaded on 05/04/2008 for the course PHYS 2074 taught by Professor Stewart during the Spring '08 term at Arkansas.

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_020 - Solution for Homework 21 Light Solution to Homework...

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