Solution (source code)

= Solution

The lowest <transverse electric mode> has <cutoff frequency> $c/(2a)\simeq15.0\,\mathrm{GHz}$; propagation requires frequency strictly above cutoff.

Full derivation: <past-exam-of-the-physics-b-course-of-the-university-of-cambridge/2010/paper-2a/section-a/3/solution>.