Discussion
The phase constant \( \beta \) of a plane wave is related to the wavelength by
Answer: A
Correct answer: \( \beta = 2\pi/\lambda \)
The phase constant is the phase advance per unit distance, and a full wavelength corresponds to \( 2\pi \) radians, so \( \beta = 2\pi/\lambda \) with units of radians per metre. It is the spatial counterpart of the angular frequency \( \omega = 2\pi/T \), and the phase velocity follows as \( v = \omega/\beta \).
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