Question

Question #e0b9c

Answer 1

The wavelength of the light is 500 nm.

Explanation:

The wave number `barnu` is a unit of frequency that is often used in spectroscopy.

It is equal to the true frequency `nu` divided by the speed of light `c`.

`color(blue)(bar(ul(|color(white)(a/a)barnu = nu/c color(white)(a/a)|)))" "`

Since

`nu = c/λ`

we can write

`barnu = 1/λ`

and

`λ = 1/barnu`

Thus, if `barnu = 2 × 10^6color(white)(l) "m"^"-1"`

`λ = 1/(2 × 10^6color(white)(l) "m"^"-1") = 5 × 10^"-7" color(white)(l)"m = 500 nm"`

This is in the cyan region of the visible electromagnetic spectrum.