# What is the relationship between frequency and wavelength in electromagnetic radiation?

Nov 28, 2016

Frequency and wavelength are inversely proportional.

#### Explanation:

Frequency and wavelength are inversely proportional.

c=f·lambda ("The speed of light is directly proportional to" $f$ and lambda).

$\frac{c}{f} = l a m \mathrm{da}$ ("The speed of light is directly proportional to" $f$, and $f$ is inversely proportional to lambda).

$\frac{c}{\lambda} = f$ ("The speed of light is directly proportional to" $\lambda$, and $\lambda$ is inversely proportional to $f$.

Notice in the diagram below that as wavelength decreases, the frequency increases. The speed of light, $c$ is a constant, so when wavelength decreases, frequency increases and vice versa.