Unformatted text preview: field of intensity ε = 10 v/cm is applied? 5. For the two conditions in problem 3, draw qualitatively the distribution of the electrons either in the momentum or k space. 6. Write down the expression for dNv x /dv x , the distribution of electrons as a function of v x , the xcomponent of velocity in a metallic conductor. 7. Write the expression for the number of electrons per unit volume that will escape into vacuum at temperature T given E B is the surface barrier energy. You can express your answer in terms of the workfunction ( Φ = E B E F ). 8. Assume a solid has 10 22 electrons per cm 3 . What is the average speed of the electrons at T = 0K. 9. Suppose E varies as 0.5 (h/2 π } 2 (k – k ) 2 /(2 m). What is the effective mass of an electron at the state with k = 0.35k ? Why does it not vary with k?...
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 Spring '07
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 Electron, Kinetic Energy, Electrons, Fundamental physics concepts, free electrons

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