6. In a metal conduction electrons are not attached to any one atom, but are relatively freeto move through the entire metal. Consider a 1 µm x 1 µm × 1 µm piece of copper atroom temperature.(a) What is the uncertainty in the x-momentum, Pr, of each electron confined to themetal?(b) What is the resulting estimate of the typical kinetic energy of an electron in the metal?[Assume Ap=√ Ap² + Ap² + Ap².](c) Is the quantum contribution to the average internal thermal energy of the metal,K = kBT, significant?(d) Does the conclusion of (c) change for a smaller piece of copper, 1 nm x 1 nm × 1 nm?

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Answered: 6. In a metal conduction electrons are…

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