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Waves and Electromagnetic Radiation. Parts of a Wave Amplitude = wave’s height = measure from 0 to the crest Wavelength = λ = distance between crests = measured in meters Frequency = ν = number of wave cycles to pass a given point per unit time = measured in hertz (Hz) or (s -1 ).
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Parts of a Wave • Amplitude = wave’s height = measure from 0 to the crest • Wavelength = λ = distance between crests = measured in meters • Frequency = ν = number of wave cycles to pass a given point per unit time = measured in hertz (Hz) or (s-1)
Electromagnetic radiation:λx ν = c, the speed of light • Includes radio waves, microwaves, infrared waves, visible light, UV, X-rays, and gamma rays • All electromagnetic radiation travels at the speed of light, c, in a vacuum • c = 2.998 x 108 m/s
Calculating the wavelength of light • Calculate the wavelength of light emitted by sodium lamps if the frequency of the radiation is 5.10 x 1014 s-1.
Calculating the wavelength of light • c = λ ν • Known • c = 2.998 x 108 m/s • ν = frequency = 5.10 x 1014 s-1 • Unknown • λ = wavelength = ?
Calculating the wavelength of light • λ = c / ν
Calculating the wavelength of light • What is the frequency of radiation with a wavelength of 5.00 x 10-8 m? In what region of the electromagnetic spectrum is this radiation?
Calculating the wavelength of light • c = λ ν • Known • c = 2.998 x 108 m/s • λ = wavelength = 5.00 x 10-8 m • Unknown • ν = frequency = ?
Calculating the wavelength of light • ν = c / λ
Einstein and de Broglie • Einstein showed light can behave like a particle • Light particles are called photons (they are like packets of energy) • de Broglie showed matter particles can behave like waves • Wavelike properties of electrons are used in electron microscopes because they have smaller wavelengths than visible light