the energy levels of electrons of mass m and charge e is confined in an area A i

Question

the energy levels of electrons of mass m and charge e is confined in an area A in xy-plane with uniform magnetic field B applied in the z- direction are given by ,En=(n+1/2)eBh/mc , n= 0,1,2...

the degeneracy of each level is eBA/hc.the lowest level is completly filled and others are empty.the fermi energy h2N/2mA, where N is the total number of electrons, is

1. coincident with the n=0 level

2. coincident with the n=0 level

3. midway between the n=0 and n=1 levels

4. midway between the n=1 and n=2 levels

(please write with better explanation)

Explanation / Answer

Since degeneracy of each level = eBA/h_bar*c So, the energy of each level = ((n+1/2)eBh_bar/mc) / (eBA/h_bar*c) = (n+1/2)*h_bar^2*2*pi/(2*pi*mA) For N particles = (n+1/2)*6.28*h_bar^2*N/(2*pi*mA) For n= 0 to n=1 there lies the fermi energy. I hope this answer you!

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