Respuesta :
Answer:
The shortest wavelength of an AM radio signal is 250 m
The longest wavelength of an AM radio signal is 468.75 m
Explanation:
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
[tex]\nu [/tex]= Frequency of wave =
c = speed of light = [tex]3\times 10^8m/s[/tex]
[tex]\lambda[/tex] = wavelength
As we can see that frequency and wavelength are inversely proportional to each other. So wave with high frequency will have shorter wavelength and wave with lower frequency will have longer wavelength.
a) The shortest wavelength of an AM radio signal:
[tex]\nu= 1.20 MHz.=1.20\times 10^6Hz=1.20\times 10^6 s^{-1}[/tex]
[tex]MHz=10^6 Hz[/tex]
[tex]\lambda =\frac{c}{\nu}[/tex]
[tex]=\frac{3\times 10^8m/s}{1.20\times 10^6}=250 m[/tex]
b) The longest wavelength of an AM radio signal:
[tex]\nu=640 kHz=640,000 Hz=640,000 s^{-1}[/tex]
[tex]kHz=1000 Hz[/tex]
[tex]\lambda =\frac{c}{\nu}[/tex]
[tex]=\frac{3\times 10^8m/s}{640,000 s^{-1}}=468.75 m[/tex]
