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Free electrons in two dimensions. Consider free electrons confined to move in two, rather than in three dimensions.
Compute the Fermi energy, velocity and momentum as a function of electron density for this case (do not forget the spin!).
What is the main difference of the 2D case from the 3D case?
What is the density of states as a function of energy for such a 2D case?
An air puck of mass m1 = 0.29 kg is tied to a string and allowed to revolve in a circle of radius R = 1.4 m on a frictionless horizontal table. What is the horizontal force acting on the puck
A counter with negligible background gives exactly 10,000 counts in a 1-s period when a standard source is in place. What is the counter dead time
A laser beam is incident on two slits with a separation of 0.175 mm, and a screen is placed 4.85 m from the slits. estimate the wavelength of the laser light
An electron that has a horizontal initial speed of 4.50 x 106 m/s enters a region that has an electric field of 120V/m pointing vertically upward. find what is the vertical displacement of the electron
a swimmer maintains a speed of 0.15ms relative to the water when he swims directly toward the opposite shore of a
An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 21.0 days on average to complete one nearly circular revolution around the unnamed planet.
A 19.6 kilogram block is dragged over a rough, horizontal surface by a constant force of 75.7 Newton acting at an angle of 27.1o above the horizontal. Determine the magnitude of the work done by force of friction
For the transmutation reaction 1H + 93Y -> ___ + 4He, What is the element abbreviation of the daughter atom
A flywheel turns through 26 rev as it slows from an angular speed of 6.3 rad/s to a stop.
A 1200 kg car is traveling at a constant speed of 13 m/s up a hill that makes a constant angle with the horizontal. How much energy is dissipated by dissipative forces in one second
A parallel capicitor is made of two plates with cross sectional area A which are separated by a distance d, what is the potential difference measured across the plates
A snowball rolls down a 200 m long hill at an angle of 30o above the horizon. After leaving the hill it rolls toward a 1200 kg small car on an icy horizontal surface. What is the speed of the snowball at the bottom of the hill
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