(a) Compute the root-mean-squared velocity of a Fermi gas at T = 0 as a function of...

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(a) Compute the root-mean-squared velocity of a Fermi gas at T = 0 as a function of the density.

(b) What is the root-mean-squared magnitude of the wave vector k in cm−1 for a T = 0 Fermi gas of free electrons with density 1022 cm−3 and effective mass mc = 0.1m0, where m0 is the free electron mass?

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