Question Bank MCQ • 1 Mark Section 3: Electromagnetic Theory Waveguides and radiation

QB_PH_072: Waveguides and radiation

Question Statement

In a hollow rectangular waveguide filled with vacuum, the phase velocity $v_p$ and group velocity $v_g$ satisfy:
(A) v_p v_g = c^2
(B) v_p / v_g = c
(C) v_p + v_g = 2c
(D) v_p = v_g = c
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Dispersion relation $\omega^2 = c^2 k^2 + \omega_c^2 \implies v_p v_g = c^2$.
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