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1. Consider the dispersion relation (1.94), which is used to model non-parabolicity in the conduction band of GaAs. Estimate the form of the density of states at small and at large energies. What happens to the velocity in these two limits?
2. Show that the density of states for free electrons in two dimensions (the simplest case) is
(Again, the result is more complicated for a realistic dispersion relation, with further singularities inside the band.)
An aluminum cup contains 225 g of water and a 40 g copper stirrer, all at 27°C. A 490 g sample of silver at an initial temperature of 90°C is placed in the water. Calculate the mass of the aluminum cup
Consider a system consisting of two concentric solenoids, as illustrated in Figure 22-48. The current in the outer solenoid is I1 = 1.25 A, and the current in the inner solenoid is I2 = 2.17 A. The number of turns per centimeter is 95 for the oute..
A person is trying to practice with their yo-yo. They can throw the yo-yo with initial angular velocity w(initial) = 500 rad/sec. How long does it take yo-yo to spin to rest
If an asteroid with mass 6.22E+17kg has radius 32000m, what is the acceleration due to gravity near its surface
Four point charges have the same magnitude of 2.36 10-12 C and are fixed to the corners of a square that is 3.65 cm on a side. Three of the charges are positive and one is negative. Decide the magnitude of the net electric field that exists at the ce..
A 430g football is lying on the ground, then is kicked and is moving at 25.00 m/s. If the period of the impact was 0.001 s, what was the average force on the ball.
A string under a tension of 58.5 N is used to whirl a rock in a horizontal circle of radius 2.75 m at a speed of 20.5 m/s on a frictionless surface, What is the breaking strength, in newtons, of the string
a sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.50 ms2. after achieving top
How much work does the electric field do in moving a -7.7 microCoulomb charge from ground to a point whose potential is +positive 55V higher.
Light spring having a force constant of 130N/m is used to pull a 12.0 kg sled on a horizontal frictionless ice rink. By how much does the spring stretch
After a day of testing race cars, you decide to take your own 1580kg car onto the test track. While moving down the track at 10.0 m/s, you uniformly accelerate to 28m/s in 10 s. What is the average net force that you have applied to the car throug..
The only force acting on a 1.2 kg canister that is moving in an xy plane has a magnitude of 4.4 N. How much work is done on the canister
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