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Advanced Wireless Services (AWS) is a wireless telecommunications spectrum band used for mobile voice and data services, video, and messaging. The AWS band uses frequencies in several segments: from 1695 to 2200 MHz. a) Determine the corresponding range of wavelengths used by the AWS mobile devices. b) To what region/band of electromagnetic spectrum does the range belong

Sagot :

Given data

*The given frequency is

[tex]f_1_{}=1695\text{ MHz}=1695\times10^6\text{ Hz}[/tex]

*The another given frequency is

[tex]f_2=2200\text{ MHz=}2200\times10^6\text{ Hz}[/tex]

*The given speed of light is c = 3.0 × 10^8 m/s

(a)

The formula for the wavelength is given as

[tex]\lambda_1=\frac{c}{f_1}[/tex]

Substitute the known values in the above expression as

[tex]\begin{gathered} \lambda_1=\frac{(3\times10^8)}{(1695\times10^6)^{}} \\ =0.176\text{ m} \end{gathered}[/tex]

The another wavelength for the another frequency is calculated as

[tex]\begin{gathered} \lambda_2=\frac{c}{f_2} \\ =\frac{(3.0\times10^8)}{(2200\times10^6)} \\ =0.136\text{ m} \end{gathered}[/tex]

(b)

Radio spectrum is an electromagnetic spectrum where the frequency range belongs of wireless telecommunication.