Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a radio wave broadcasted by a radio station with a frequency of 1300 kHz is 230.615 m.
Wavelength, frecuency and propagation speed
First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other hand, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 2,998×10⁸ m/s, the speed of light.
Wavelength of a radio wave broadcasted
In this case, you know:
- v=2,998×10⁸ m/s
- f= 1300 kHz= 1,300,000 Hz (1 kHz= 1000 Hz)
- λ= ?
Replacing in the definition of propagation speed:
2,998×10⁸ m/s= 1,300,000 Hz× λ
Solving:
λ= 2,998×10⁸ m/s ÷ 1,300,000 Hz
λ= 230.615 m
In summary, the wavelength of a radio wave broadcasted by a radio station with a frequency of 1300 kHz is 230.615 m.
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