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Consider the wave equations 1 22 12 ( F. t ) a. What is the dispersion relation for this wave equation? b. Calculate the phase

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Consider the wave equations 1 22 12" ( F. t ) a. What is the dispersion relation for this wave equation? b. Calculate the phase velocity and the group velocity and plot these as a function of k. c. Analyze the behaviour of the phase velocity when k > 1/L

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