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? A) 12.6 m⁻¹ B) 14.8 m⁻¹ C) 18.4 m⁻¹ D) 21.0 m⁻¹ E) 25.9 m⁻¹

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Quizplus · Accepted Answer

The wavenumber $k$ is given by $k = \frac{2\pi}{\lambda}$, where $\lambda$ is the wavelength. Substituting $\lambda = 0.500$ m, $k = \frac{2\pi}{0.500} = 12.57$ m$^{-1}$, which rounds to 12.6 m$^{-1}$, matching choice A.

The Wavelength of a Periodic Wave Is 0