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The relationship between frequency and energy of electromagnetic radiation was first described by the theoretical physicist Max Planck. He stated that the energy (E) of a single photon is directly proportional to the frequency of its associated electromagnetic wave (v). The coefficient of this proportionality is the Planck Constant (h). The relationship between frequency and energy is thus defined:

E = hv

The value of h is 6.62606957(29)×10−34 joule-seconds.

Since the frequency of light, v, can be defined as v = c/λ, we can re-write the energy calculation as:

E = (hc)/λ

Note that these definitions are only true for electromagnetic radiation; the proportionality of frequency and energy in other types of waves is also true, but the relationship is not defined by the Planck constant in such cases.

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Q: What is the relationship between freqency and energy?
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