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Electromagnetic Spectra. Helpful Equations. c = λν E = h ν E = mc 2 c = 3.00 x 10 8 m / sec h = 6.626 x 10 -34 J • sec Hz = 1 / sec.
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Helpful Equations c = λν E = hν E = mc2 c = 3.00 x 108 m/sec h = 6.626 x 10-34 J • sec Hz = 1/sec
The Aurora Borealis is a night display in the Northern latitudes caused by ionizing radiation interacting with the Earth's magnetic field and the upper atmosphere. The distinctive green color is caused by the interaction of the radiation with oxygen and has a frequency of 5.38 x 1014 Hz. What is the wavelength of this light?
Wavelength Problems • When an electron beam strikes a block of copper, x-rays of frequency 1.07 x 1019 Hz are emitted. What is the wavelength of these x-rays? • Light with a frequency of 7.26 x 1014 Hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light? • Calculate the wavelength (in meters) of radiation a frequency of 5.00 x 1014 s¯1.
Practice Problems • A certain photon of light has a wavelength of 422 nm. What is the frequency of the light? • What is the energy of a quantum of light from part I.
Practice • 1. What is the energy of a quantum of light with a frequency of 7.39 x 1014 Hz? • 2. What is the wavelength of the quantum of light in question 1? • 3. A certain red light has a wavelength of 680 nm. What is the frequency of the light?
Practice • 4. What is the energy of a quantum of light from question 3? • 5. A certain blue light has a frequency of 6.91 x 1014 Hz. What is the wavelength of the light? • 6. What is the energy of a quantum of light from question 5? • 7. The energy for a quantum of light is 2.84 x 10-19 J. What is the wavelength of this light?