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Solve these two questions. They are not very long. And try to write clearly and accurately!
Q1: The wave function ψk(x) of an electron in a crystal may be expressed in a Fourier series as ψk(x)=∑C(k)exp(ikx). Use this statement to prove the Bloch theorem.
Q2: Show that the wavelength associated with an electron having an energy equal to Fermi energy is given by
λF=2*sqrt(pi/(3*n))
where n seems is concentration of electrons(confirm it!).
A ball is thrown with a speed of 15 m/s at a 78 degree angle. will it make it over a 10 m wall? How far from the wall does the ball need to be thrown
Two particles are in a uniform electric field whose value is +2500 N/C. The mass and charge of particle 1 are m1 = 1.20 x 10-5 kg and q1 = -6.99C, while the corresponding values for particle 2 are m2 = 2.94 x 10-5 kg and q2 = +18.0C.
A cyclist starts from rest and rides in a straight line, increasing speed so that her wheels have a constant angular acceleration of 2.0 rad/s2 around their axles. determine how far has the cyclist traveled
A circular disc of mass 10 kg is suspended by a wire attached to its centre. Determine the torsional spring constant of the wire
Assuming that the only forces affecting the speed are the weight and the drag, calculate the drag coefficient. The frontal area is 0.9 m2. Speculate whether the rider is in the upright or racing position.
A rectangular water filtering tank has a square cross-section is open at the top. How high will the tank rise
Blocks A (mass 2.00kg) and B (mass 10.00kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. Find the velocity of each block after they have moved apart
What would be the angular momentum of the object at this speed and location (assume velocity is perpendicular to displacement vector)?
in the U.K, the power companies supply an rms voltage of 240V to most home outlets. If you were to try and use your standard U.S. rated 1790W (at 120V) hairdrying in the u.K
If Jessica can accelerate at a speed of 5-m/s^2, how long will it take for her to reach a speed of 30.0 m/s.
A cat walks along a uniform plank that is 4.00 m long and has a mass of 7.00kg the plank is upported by two sawhorses. What is the mass of the cat
A 3.0-kg and a 5.0-kg box rest side-by-side on a smooth, level?oor. A horizontal force of 32 N is applied to the 3.0-kg box pushing it against the 5.0-kg box, How large is the contact force between the two boxes
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