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There has recently been considerable interest in one-dimensional electrical conductors. In this problem, you are asked to calculate some free-electron properties for a system of length L containing N electrons. Thus, there are n =N/L electrons per unit length.
a) Calculate the density of states per unit energy range per unit length (hint: use periodic boundary conditions and positive and negative values of k).
b) Calculate the Fermi energy e_f at T=0. Estimate e_f in electron volts for n = 10^8 /cm.
C) Calculate the energy of the gas at T =0. Give your answers in terms of n and e_f.
a curve of radius 139 m is banked at an angle of 9deg. an 758-kg car negotiates the curve at 77 kmh without skidding.
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A mass, m= 1.23kg is hanging from a string. The string is stretched 0.641m from its natural equlibrium position. If i lift the mass 0.36m and let it go, what will be its maximum velocity
Light waves with two dissimilar wavelengths, 632 nm and 474nm, pass simultaneously during a single slit whose width is 7.15e-5m and strike a screen 1.20 m from the slit. Two diffraction patterns are formed on the screen.
two toy locomotives approach each other along the same line and upon collision both stop dead still. one locomotive has
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