Question

What is the wavelength of radiation with a frequency of 1.50 x 1013 s-1

Answer 1

`2 * 10^(-5)\ m`

Step-by-step explanation:

`v = f \lambda`

velocity of wave = frequency x wavelength

I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).

Every type of EM radiation has the same velocity — the speed of light.

Speed of light, known as
`c` — 300 000 000 =
`3 * 10^8`

velocity:
`c = 3 * 10^8`
`ms^(-1)`

frequency:
`f = 1.5 * 10^(13)`
`\text{Hz}`

wavelength:
`\lambda =\ ?`
`m`

`v = f \lambda\\3 * 10^8 = 1.5 *^(13)\ * \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = (3 * 10^8)/(1.5 * 10^(13)) = 2 * 10^(-5)`
`m`