Equation $|\vec{v}|=\frac{\omega}{k}=\frac{\lambda}{T}=\lambda f$ Implies That a Sinusoidal Wave's Phase Speed Depends on Its

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Equation $|\vec{v}|=\frac{\omega}{k}=\frac{\lambda}{T}=\lambda f$ implies that a sinusoidal wave's phase speed depends on its wavelength.