Please answer 8.5 (a) and (b) resonance is observable.8.5 (a)Apply the Onsager's quantization condition (8.39) to the orbits of free electron levelsand show that it leads directly to the free electron levels (8.26) if y = 1/2.(b)Derive an expression for the degeneracy of Landau levels in the case of a two-dimensional free electron gas. Show that the degeneracy is equal to the number ofzero-field free electron levels with a given k., and with k, and k, within a planar regionof area AS given by (8.29).8.6 An electron in sodium at the Fermi level moves initially in the xy-plane. Calculate the radiusof its cyclotron orbit when a magnetic field of 1 T is applied. What is the ratio of the orbitarea in real space to that in k-space?

Given Data: 8.5 a show that it leads directly to the free electron levels if γ =12 by applying the…

Answered: 8.5 (a) Apply the Onsager's…

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