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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.

Respuesta :

Answer:

Wavelength = 13492242 nm

Wavelength = 134922420 Å

Explanation:

The relation between frequency and wavelength is shown below as:

[tex]c=frequency\times Wavelength [/tex]

c is the speed of light having value [tex]3\times 10^8\ m/s[/tex]

Given, Frequency = [tex]22.235\ GHz=22.235\times 10^{9}\ Hz[/tex]

Thus, Wavelength is:

[tex]Wavelength=\frac{c}{Frequency}[/tex]

[tex]Wavelength=\frac{3\times 10^8}{22.235\times 10^{9}}\ m[/tex]

[tex]Wavelength=0.013492242\ m=13492242\times 10^{-9}\ m[/tex]

Also, 1 m = [tex]10^{-9}[/tex] nm

So,  

Wavelength = 13492242 nm

Also, 1 m = [tex]10^{-10}[/tex] Å

Wavelength = 134922420 Å

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