Consider solid metallic magnesium (Mg). It has a Fermi energy of 7.08eV and the electrons in it have a Fermi velocity of

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Consider solid metallic magnesium (Mg). It has a Fermi energy of
7.08eV and the electrons
in it have a Fermi velocity of 1.58 × 106 m/s. There are 8.61 ×
1028 electrons per m3 in solid
Mg that participate in electrical conduction, and it has an
electrical conductivity of 2.15 × 107
S/m ( = 2.15 × 107 Ω-1 m-1). (These values are for room
temperature.) You fashion a wire
out of Mg that is 10 m long and has a radius of 1 mm, and connect a
9 volt battery across it.
a) Determine the effective mass of an electron in solid Mg. Express
your answer in terms of
the mass of a free electron.
b) Determine the average time in between collisions as an electron
moves through the solid.
c) Determine the electron mobility of the electrons in the
wire.