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Sep 9, 2022 · The relationship between energy (E), frequency and wavelength can be described with this equation: E=hf=\frac {hc} {\lambda} E = hf = λhc. The energy is simply the photon’s frequency multiplied by the Planck constant (h). Frequency and wavelength are inverse correlated by way of the speed of light (c): f=\frac {c} {\lambda}\\ [0.1in] c=f ...
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The Relationship between Wave Frequency, Period, Wavelength, and Velocity. Since wave frequency is the number of waves per second, and the period is essentially the number of seconds per wave, the relationship between frequency and period is
The relationship among the speed of propagation, wavelength, and frequency for any wave is given by \(v_{w} = f \lambda\), so that for electromagnetic waves, \[c = f \lambda, \nonumber\] where \(f\) is the frequency, \(\lambda\) is the wavelength, and \(c\) is the speed of light.
In general, the energy of a mechanical wave and the power are proportional to the amplitude squared and to the angular frequency squared (and therefore the frequency squared). Another important characteristic of waves is the intensity of the waves.
Express the time-averaged energy density of electromagnetic waves in terms of their electric and magnetic field amplitudes; Calculate the Poynting vector and the energy intensity of electromagnetic waves; Explain how the energy of an electromagnetic wave depends on its amplitude, whereas the energy of a photon is proportional to its frequency
Define the electromagnetic spectrum, and describe it in terms of frequencies and wavelengths. Describe and explain the differences and similarities of each section of the electromagnetic spectrum and the applications of radiation from those sections.
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The relationship c = fλ c = f λ between frequency f and wavelength λ λ applies to all waves and ensures that greater frequency means smaller wavelength. Figure 16.17 shows how the various types of electromagnetic waves are categorized according to their wavelengths and frequencies—that is, it shows the electromagnetic spectrum.
