Respuesta :

Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of the wave is 4.9967×10¹⁴ m.

Definition of wavelength

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).

Definition of frequency

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Propagation speed

The propagation speed is the speed with which the wave propagates in the medium.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following expression:

v = f×λ

All electromagnetic waves propagate in a vacuum at a constant speed of 2,998×10⁸ m/s, the speed of light.

Frequency of the wave in this case

In this case, you know:

  • v= 2,998×10⁸ m/s
  • f= ?
  • λ= 6×10⁻⁷ m

Replacing in the definition of propagation speed:

2,998×10⁸ m/s= f× 6×10⁻⁷ m

Solving:

f= 2,998×10⁸ m/s ÷ 6×10⁻⁷ m

f= 4.9967×10¹⁴ m

In summary, the frequency of the wave is 4.9967×10¹⁴ m.

Learn more about wavelength, frecuency and propagation speed:

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