1 (a) The width of an infinite potential well for a free electron of an 1-D material is 10.5 A°.Determine the first four allowed energy levels in eV for this free electron. Also find E2-E1, E3-E2and E4-E3 in eV. Comment on the separation between successive levels.n²n²h?En%3D2mа?(b) Suppose for Fermi-Dirac probability distribution function, E-EF = 0.15 eV. Find thetemperature at which (i) the ff(E) = 0.05 and (ii) the ff(E) = 0.095. Why at higher temperature,the probability of occupancy of a state E > EF is higher?%3D1fr (E) =E-EF1+e kT

Using the concept of Particle in a box and fermi function

Answered: 1 (a) The width of an infinite…

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