ANSWER
11 wavelengths
EXPLANATION
Given:
• The distance between the radio station and the listener, 5 km = 5000 m
,• The broadcasting frequency, f = 660 kHz = 660000 Hz
Unknown:
• The number of wavelengths that fit in the distance from the station to the listener's house
First, we have to find the wavelength,
[tex]\lambda=\frac{c}{f}[/tex]Where c is the speed of light in m/s and f is the frequency in Hz,
[tex]\lambda=\frac{3\cdot10^8m/s}{660000Hz}\approx454.55m[/tex]To find how many wavelengths fit in the distance from the station to the listener's house, we have to divide the distance between them by the wavelength of the wave,
[tex]n=\frac{5000m}{454.55m}\approx11[/tex]Hence, a total of 11 wavelengths fit in the distance from the station to his house.
