The frequency (f) of a wave can be calculated using the equation:
f = c / λ
Where: f = frequency of the wave c = speed of light in a vacuum (approximately 3 x 10^8 meters per second) λ = wavelength of the wave
Given that the wavelength (λ) is 200 meters and the speed of light (c) is 3 x 10^8 meters per second, we can substitute these values into the equation:
f = (3 x 10^8 m/s) / (200 m) f = 1.5 x 10^6 Hz
Therefore, the radio station should have a frequency of approximately 1.5 megahertz (MHz) if its waves are to have a wavelength of 200 meters.