Question

Police often monitor traffic with "K-band" radar guns, which operate in the microwave region at 22.235 GHz (1 GHz = 10⁹ Hz). Find the wavelength (in nm and Å) of this radiation.

Answer 1

Wavelength = 13492242 nm

Wavelength = 134922420 Å

Step-by-step explanation:

The relation between frequency and wavelength is shown below as:

`c=frequency* Wavelength`

c is the speed of light having value
`3* 10^8\ m/s`

Given, Frequency =
`22.235\ GHz=22.235* 10^(9)\ Hz`

Thus, Wavelength is:

`Wavelength=(c)/(Frequency)`

`Wavelength=(3* 10^8)/(22.235* 10^(9))\ m`

`Wavelength=0.013492242\ m=13492242* 10^(-9)\ m`

Also, 1 m =
`10^(-9)` nm

So,

Wavelength = 13492242 nm

Also, 1 m =
`10^(-10)` Å

Wavelength = 134922420 Å