The frequency (f) of a wave is related to its period (T) by the equation:
f = 1 / T
Given that the frequency of the radio station is 200 kHz, we can calculate the period as follows:
f = 200 kHz = 200,000 Hz
T = 1 / f = 1 / 200,000 Hz ≈ 5.0 x 10^(-6) seconds (s)
The speed of the wave (v) is given as 3.0 x 10^8 m/s.
The wavelength (λ) of a wave is related to its speed and frequency by the equation:
v = λf
Rearranging the equation, we can solve for the wavelength:
λ = v / f = (3.0 x 10^8 m/s) / (200,000 Hz) = 1500 meters (m)
Therefore, the period of the waves is approximately 5.0 x 10^(-6) seconds (s), and the wavelength is 1500 meters (m).