Question: A quantity u satisfies the wave equation Inside a hollow cylindrical pipe of radius a , and on the walls of the pipe. Is the

A quantity u satisfies the wave equation
Inside a hollow cylindrical pipe of radius a, and on the walls of the pipe. Is the end ,, waves will be sent down the pipe with various spatial distortions (modes). Find the phase velocity of the fundamental mode as a f
unction of frequency and interpret the results for small .

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