Speed of an EM wave

c=λfc=\lambda f

Result unit: m/s

What it describes

An electromagnetic wave in vacuum travels at the speed of light — the product of the wavelength and the frequency.

Symbols

cc
speed of light (≈3⋅108\approx 3\cdot10^{8})
[m/s]
λ\lambda
wavelength
[m]
ff
frequency
[Hz]

Where it comes from

All EM waves in vacuum travel at the speed of light c≈3⋅108c\approx3\cdot10^{8} m/s. That is why shorter waves (e.g. gamma rays) have a higher frequency.

When to use it

Radio waves, light, radiation; the relation between λ\lambda and ff.

Example

A radio wave has f=100f=100 MHz. Calculate the wavelength.
Substitutionc=3⋅108c=3\cdot10^{8}, f=108f=10^{8}.
Resultλ=3⋅108108=3\lambda=\dfrac{3\cdot10^{8}}{10^{8}}=3 m.

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