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A $100 \mathrm{~m}$ section of an air-filled rectangular waveguide operating in the $\mathrm{TE}_{10}$ mode has a cross-sectional dimension of $1.071 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Two pulses of $21 \; \mathrm{GHz}$ and $28 \; \mathrm{GHz}$ are simultaneously launched at one end of the waveguide section. What is the time delay difference between the two pulses at the other end of the waveguide?

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