Respuesta :
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]
