Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2012/s19/3/a/ii/solution

The RF harmonic number is the number of RF cycles per revolution, so . For ,
The synchronous phase fixes which phase of that voltage is sampled, not the frequency ratio. For a sine voltage, gives zero net accelerating voltage and describes a stationary ideal-energy condition; an actual energy ramp requires a phase producing the required energy gain. A different phase-origin convention changes that statement about the zero of phase, but not the boxed frequencies.

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