The wavelength of a periodic wave is 0.500 m. If the frequency is 400 Hz, then what is the wavenumber k of the wave?
Question
The wavelength of a periodic wave is 0.500 m.
If the frequency is 400 Hz, then what is the wavenumber k of the wave?
Solution
The wavenumber (k) of a wave is defined as the spatial frequency of the wave, measured in radians per unit distance. It is the reciprocal of the wavelength (λ).
The formula to calculate the wavenumber is:
k = 1/λ
Given that the wavelength (λ) of the wave is 0.500 m, we can substitute this value into the formula:
k = 1/0.500
Solving this equation gives:
k = 2 rad/m
So, the wavenumber (k) of the wave is 2 rad/m.
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