Respuesta :

Answer:frequency =v/π= 3×10^8/6.9 ×10^-13=5×10^20

Explanation: the relationship between the velocity and frequency of a wave is V=fπ ,where V=velocity of wave while the π or lander represents wavelength which was given in the question.f represents frequency of wave.velocity of waves differs,e.g sound waves has a velocity of 330m/s while electromagentic spectrum waves eg UV,infrared has a constant velocity called velocity of light =3×10^8.the question did not clarify the type of wave so I assumed it should be light. Which has a V= 3×10^8.so frequency was calculate d using velocity divided by wavelength (which. Was given).

The frequency of the wave at the given wavelength is [tex]4.35 \times 10^{20} \ Hz[/tex].

The given parameters;

  • wavelength of the wave, λ = 6.9 x 10⁻¹³ m

The frequency of the wave is calculated by applying wave equation as shown below;

v = fλ

where;

  • f is the frequency of the wave
  • v is the speed of light

The frequency of the wave is calculated as follows;

[tex]f = \frac{v}{\lambda} \\\\f = \frac{3\times 10^8}{6.9 \times 10^{-13}} \\\\f = 4.35 \times 10^{20} \ Hz[/tex]

Thus, the frequency of the wave at the given wavelength is [tex]4.35 \times 10^{20} \ Hz[/tex]

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