Question

What is the wavelength of a light of frequency `4.47 * 10^14` `Hz`?

Answer 1

`671 nm`

Explanation:

Wavelength relates to frequency as follows:

`lambda = v/f`
in which `f` is the frequency, `v` is the speed of light, and `lambda` is the wavelength.

Filling this in for the example:

`v = 3 * 10^8 m/s`
`f = 4.47*10^14 Hz = 4.47*10^14 s^(-1)`

`lambda = (3*10^8 m/s) / (4.47*10^14 s^(-1)) = 6.71*10^-7 m`

from m to nm is `*10^9`

So the wavelength is: `671 nm` (red light).