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(a) (i) What are the main assumptions of the free electron model?
(ii) Give an example where the free electron model is in good agreement with experiment.
(iii) Give an example where the free electron model fails.
(b) (i) How does the nearly free electron model improve on the free electron model?
(ii) Describe one of the successes of the nearly free electron model over the free electron model.
(c) Calculate the mean free path in copper for which Kf, the k-vector of electrons at the Fermi energy is 1.35 10^10 m^-1, given that ζ=2.4x10^-14s
A small rock with mass 0.20 kg is fastened to a mass less string by length 0.90 m to form a pendulum. The pendulum is swinging so as to create a maximum angle of 45° with the vertical. Air resistance is negligible.
The deepest place in all the oceans is the Marianas Trench, where the depth is 10.9 km and the pressure is 1.10×10^8Pa. by how much does its volume decrease
A positive charge q1 = 2.50 µC on a frictionless horizontal surface is attached to a spring of force constant k, the distance between charges to d = 9.00 cm, Find the value of k
An electric field given by E→ = 8.3 iˆ - 9.4(y2 + 8.5) jˆ pierces the Gaussian cube of edge length 0.490 m and positioned as shown in the figure. What is the net electric flux through the cube
Explain Poiseuille's law and its various components in a paragraph and give an example of this in the human body.(Hint: use flow rate, viscosity, radius, pressure, Length, resistance, and pressure gradient to answer the question)
What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable.
The intensity of sunlight that reaches Jupiter (orbiting at about 5 AU) is approximately what fraction of that at Earths orbital distance.
A jet plane traveling 1840 kilometer per hour (511 m/s) pulls out of a dive by moving in an arc of radius 5.40 kilometer, determine what is the planes acceleration
A man goes fishing for dinner. He walks 5 km due West from his house, and tries to catch a fish, after 5 hours and no fish, he walks 5 km due North. What is the color of the bear
A spaceship has a proper length of 160 meters. It passes you going at a high speed. You measure the length of the spaceship to be 100 meters. Given this, what is the speed of the spaceship?
A 1.2 kg block is held at rest against a spring with a forceconstant k=730 N/m. Intially the spring is compressed a distanced. When the block is released, it slides across a surfacethat is frictionless except for a rough patch of width 5.0 cm that..
A hovercraft of mass 69.0 kg can move on a horizontal surface, the x-y plane. A single unbalanced force acts on the hovercraft, How much work is done on the hovercraft by the force during this time
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