Answer:
187.37 m
Explanation:
The wavelength of an electromagnetic wave is given by:
[tex]\lambda=\frac{c}{f}[/tex]
where
c is the speed of light
f is the frequency
We see that the wavelength is inversely proportional to the frequency: this means that the shortest am wavelength will occur at the highest am frequency, which is
[tex]f=1600 kHz = 1600 \cdot 10^3 Hz[/tex]
And substituting also the speed of light
[tex]c=2.99792 \cdot 10^8 m/s[/tex]
We find the wavelength:
[tex]\lambda=\frac{2.99792 \cdot 10^8 m/s}{1600\cdot 10^3 Hz}=187.37 m[/tex]
