Solution

ID: past-exam-of-the-physics-a-course-of-the-university-of-cambridge/2010/paper-1/section-b/b7/b/solution

At25kHz, the n=1 and n=2 modes can propagate, with
They have different phase and group speeds, so a launch exciting both produces multimode propagation and possible beating. Actual mode amplitudes depend on the transverse launch profile; their existence does not guarantee both are excited. Modes n≥3 remain evanescent.

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