Radio waves travel at the speed of light: 3 × 105 km/s. what is the wavelength of radio waves received at 107.7 mhz on your fm radio dial? answer in units of m.
The speed of light is: [tex]c=3 \cdot 10^5 km/s = 3 \cdot 10^8 m/s[/tex] while the frequency of the radio waves is [tex]f=107.7 MHz = 107.7 \cdot 10^6 Hz[/tex]
We can find the corresponding wavelength by using the relationship [tex]\lambda= \frac{c}{f} [/tex] where [tex]\lambda [/tex] is the wavelength c is the speed of light f is the frequency
By susbstituting the numbers, we find [tex]\lambda= \frac{3 \cdot 10^8 m/s}{107.7 \cdot 10^6 Hz}=2.79 m [/tex]
