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## Calculate the range of wavelengths for the frequencies found on the FM band. Take a look at the “whip” radio antennas on cars, comment on th

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## Answers ( )

Answer:2.8m-3.4m

Explanation:Radio waves are electromagnetic waves and they all travel with a speed of

[tex]3*10^8m/s[/tex] in air.

The range of frequencies in the FM band is from 88MHz to 108MHz.

Generally, the relationship between velocity, frequency and wavelength for electromagnetic waves is given by equation (1);

[tex]v=\lambda f…………..(1)[/tex]

From equation (1), we can write,

[tex]\lambda=\frac{v}{f}……………(2)[/tex]

For the upper frequency of 108MHz, the wavelength is given by;

[tex]\lambda_1=\frac{3*10^8}{108*10^6}\\\lambda_1=0.02778*10^2\\\lambda_1=2.78m[/tex]

Similarly, for the lower frequency of 88MHz, the wavelength is given by;

[tex]\lambda_2=\frac{3*10^8}{88*10^6}\\\lambda_2=0.0341*10^2\\\lambda_2=3.41m[/tex]

The range of wavelength therefore is [tex]\lambda_1-\lambda_2=2.8m-3.4m[/tex] approximately.

Please note the following:

[tex]108MHz=108*10^6Hz\\88MHz=88*10^6Hz[/tex]