5. Calculate the wavelength in centimeters of
a. An airport tower transmitting at 118.6 MHz
b. A VOR (radio navigation aid) transmitting at 114.10 kHz
c. An NMR signal at 105MHz
d. An infrared absorption peak with a wavenumber of 1210 cm
1
Expert's answer
2017-12-12T12:05:06-0500
The wavelength: λ = v / f, where: v - speed of the wave f - frequency For electromagnetic waves: v = 3∙108 m/s, therefore: a. Wavelength = 3∙108 / 1.186∙108 = 2.53 m = 253 cm b. Wavelength = 3∙108 / 1.141∙105 = 2629 m = 262900 cm c. Wavelength = 3∙108 / 1.05∙108 = 2.86 m = 286 cm The wavenumber (in spectroscopy): ṽ = 1 / λ so: λ = 1 / ṽ d. Wavelength = 1 / 1210 = 0.000826 cm
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