(a) A reflex klystron operates under the following conditions $\mathrm{V} 0=600 \mathrm{v}$, $\mathrm{L}=1 \mathrm{~mm}, \mathrm{R}_{\mathrm{sh}}=15 \mathrm{~K} \Omega, \mathrm{e} / \mathrm{m}=1.759 \times 10^{11}\left(\mathrm{MKS}\right.$ system), $f_{\mathrm{r}}=9 \mathrm{GHz}$, the tube is oscillating at $f$ at the peak of $n=2$ mode or $1 \frac{3}{4}$ mode. Assume that transit time through the gap and beam load can be neglected.
Explanation
This expression is derived based on the concept of transit time and the conditions for reflex klystron operation. The given values are substituted into the expression to find the transit time.
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