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Consider a one-dimensional chain consisting of 3 identical potential wells (atoms) with non-degenerate levels and corresponding wave functions ?PSI(x) . Inter-atomic distance is a. Using periodic boundary conditions find Bloch functions of this "crystal" and allowed Pseudo-wavevectors within first Brillouin zone .
Consider the father pushing a playground merry-go-round. He exerts a force of 250 Newton at the edge of the 50 kilogram merry-go-round, Determine what the angular acceleration produced
An alpha particle (charge +2e, mass 6.64x10^-27) moves head onat a fixed gold nucleus (charge +79e). what was the initial speed of the alpha particle
A point on the rim of a 0.55 m diameter grinding wheel changes speed uniformly from 12 m/s to 20 m/s in 8.3 s. What is the average angular acceleration of the wheel
Seven electrons are trapped in a one-dimensional infinite potential well of width L. What multiple of h2/8mL2 gives the energy of (a) the first excited state, (b) the second excited state, and(c) the third excited state of the system? Suppose that th..
A father (m = 65 kg) and son (m = 38 kg) are standing facing each other on a frozen pond. The son pushes on the father and finds himself moving backward at 3.0 m/s after they have separated. How fast would the father be moving.
Consider a long, narrow bar magnet that is north on one end and south on the other passing lengthwise, north first, through the center of a circular conducting loop at constant velocity. Sketch qualitatively the emf in the loop as a function of ti..
A hot air balloon plus cargo has a mass of 291 kg and a volume of 755 m3. The balloon is floating at a constant height of 6.25 m above the ground. The density of the outside air may be assumed to be 1.29 kg/m3. What is the density of the hot air in t..
You throw a ball straight up with an initial velocity of 18.0 m/s. It passes a tree branch on the way up at a height of 7.00 m. How much additional time will pass
A ball is thrown from the roof of a 22m tall building with an initial velocity of magnitude 12 m/s and directed 53.1 (o) above the horizontal. What is the magnitude of the ball's velocity just before it hit the ground
An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1710 * 10^3 seconds, calculate the moon\'s radial acceleration.
A spherical pinball, initially at rest, rolls down a ramp inclined at 18 degrees relative to horizontal. Determine the translational speed after 3 seconds
a motorcycle rider starts from rest and goes 3.75 rad counterclockwise around a circular track in 12.3 seconds.
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