Answer:
The wavelength is [tex]1.87m[/tex]
Explanation:
Radio waves are part of the electromagnetic spectrum, any radiation of that electromagnetic spectrum has a speed of 3.00x10^{8}m/s in vacuum.
Therefore, the wavelength can be determined by the following equation:
[tex]c = \lambda \cdot \nu[/tex] (1)
Where c is the speed of light, [tex]\lambda[/tex] is the wavelength and [tex]\nu[/tex] is the frequency.
Then, [tex]\lambda[/tex] can be isolated from equation 1
[tex]\lambda = \frac{c}{\nu}[/tex] (2)
Notice that it is necessary to express the frequency in units of Hz.
[tex]\nu = 160MHz . \frac{1000000Hz}{1MHz}[/tex] ⇒ [tex]160000000Hz[/tex]
[tex]\lambda = \frac{3x10^{8}m/s}{160000000Hz}[/tex]
But [tex]1Hz = s^{-1}[/tex]
[tex]\lambda = \frac{3x10^{8}m/s}{160000000s^{-1}}[/tex]
[tex]\lambda = 1.87m[/tex]
Hence, the wavelength is [tex]1.87m[/tex]
