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Infrared waves travel at a speed of 3.00 x 10^8 m/s. What is the frequency of an infrared wave
that has a vacuum wavelength of 5.5 micrometers?
(1 micrometer= 1x10^-6 m)
O 5.5 X 10^12 Hz
O 5.5 x 10^10 Hz
O 5.5 X 10^11 Hz
O 5.5 X 10^13 Hz

Respuesta :

onyebuchinnaji

The frequency of the infrared wave at the given speed and wavelength is [tex]5.5 \times 10^{13} \ Hz[/tex].

The given parameters;

  • speed of the wave, v = 3 x 10⁸ m/s
  • wavelength of the wave, λ = 5.5 μm

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

v = fλ

where;

  • f is the frequency of the wave

[tex]f = \frac{v}{\lambda} \\\\f = \frac{3\times 10^8}{5.5 \times 10^{-6}} \\\\f = 5.5 \times 10^{13} \ Hz[/tex]

Thus, the frequency of the infrared wave at the given speed and wavelength is [tex]5.5 \times 10^{13} \ Hz[/tex].

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