# HW17Sol - 11 Hz = ϖ = 3.77x10 12 rad/s This is an infrared...

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Jim Guinn’s PHYS2212 Assignment #17 Solutions 1. A certain electromagnetic wave has a wavelength of 5.00x10 -4 m . What is its frequency, wave number, angular frequency, and what kind of wave is it, that is, radio wave, infrared, or what? (You might use a chart like that on p.618 in Knight to determine what kind of radiation it is, for this and the next problem.) The frequency is given by f = c / λ = 3.00x10 8 m/s / (5.00x10 -4 m) = f = 6.00x10 11 Hz . The wave number is given by k = 2 π / λ = 2 π / (5.00x10 -4 m) = k = 1.26x10 4 m -1 . The angular frequency is given by ϖ = 2 π f = 2 π (6.00x10
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Unformatted text preview: 11 Hz) = ϖ = 3.77x10 12 rad/s . This is an infrared wave. 2. A certain electromagnetic wave has a frequency of 4.00x10 18 Hz . What is its wavelength, wave number, angular frequency, and what kind of wave is it, that is, radio wave, infrared, or what? The wavelength is given by λ = c / f = 3.00x10 8 m/s / (4.00x10 18 Hz) = λ = 7.50x10-11 m . The wave number is given by k = 2 π / λ = 2 π / (7.50x10-11 m) = k = 8.38x10 10 m-1 . The angular frequency is given by ϖ = 2 π f = 2 π (4.00x10 18 Hz) = ϖ = 2.51x10 19 rad/s . This is an X-ray....
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