Electromagnetic radiation travels in waves. waves have energy. what is the relationship between the wavelength of electromagnetic radiation and the energy of the wave

Respuesta :

Electromagnetic radiation consists of many photons, each photon carrying an energy of
[tex]E=hf[/tex]
where
[tex]h=6.6 \cdot 10^{-34} Js[/tex] is the Planck constant
f is the frequency of the wave.

We also know a relationship between frequency and wavelength of a wave:
[tex]f= \frac{c}{\lambda}[/tex]
where
[tex]c=3 \cdot 10^8 m/s[/tex] is the speed of light
[tex]\lambda[/tex] is the wavelength.

Substituting the second equation into the first one, we find a relationship between the energy of a wave and its wavelength:
[tex]E=h \frac{c}{\lambda} [/tex]

The relation between the wavelength of electromagnetic radiation will be   [tex]E=\dfrac{hc}{\lambda}[/tex]

What is Electromagnetic wave?

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field.

Electromagnetic radiation consists of many photons, each photon carrying an energy of

[tex]E=hf[/tex]

where [tex]h=6.6\times 10^{-34}[/tex]

is the Planck constant

f is the frequency of the wave.

We also know a relationship between frequency and wavelength of a wave:

[tex]f=\dfrac{c}{\lambda}[/tex]

where[tex]c=3.8\times 10^{8} m/s[/tex]

is the speed of light

is the wavelength.

Substituting the second equation into the first one, we find a relationship between the energy of a wave and its wavelength:

[tex]E=\dfrac{hc}{\lambda}[/tex]

To know more about Electromagnetic wave follow

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