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the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz

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CintiaSalazar

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

Definition of 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 side, 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 3×10⁸ m/s, the speed of light.

Wavelength for radio waves

In this case, you know:

  • v= 3×10⁸ m/s
  • f= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)
  • λ= ?

Replacing in the definition of propagation speed:

3×10⁸ m/s = 100,000,000 Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 100,000,000 Hz

λ= 3 m

In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

Learn more about wavelength, frecuency and propagation speed:

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