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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!).
How much does the load need to be increased/decreased to avoid first ply failure, assuming all components are increased/decreased proportionally?
A 980-g rock is whirled in a horizontal circle at the end of a 1.4-m-long string. If the breaking strength of the string is 160N, what is the minimum angle the string can make with the horizontal
Compare and contrast propeller driven performance to jet performance in an aircraft? If you were designing an aircraft what would be the reasons for choosing the power plant type?
A box of 25cm by 25cm by 25cm is placed in water, when a rat is placed on top of the box the box goes down by 2cm. what is the weight of the rat
A 5.7kg box is on a frictionless 44° slope and is connected via a massless string over a massless, find the tension in the string once the box begins to move
A copper wire has a square cross section a on a side. The wire is L long and carries a current of I. The density of free electrons is ne. Estimate the magnitude of the current density in the wire
A hockey puck is sliding across the ice at 10.0 m/s. A player’s stick momentarily comes in contact with the puck and accelerates it to 24.0 m/s (without changing its direction). The mass of the puck is 0.170 kg. How much work is done on the puck by t..
A 1037 kg satellite orbits the Earth at a constant altitude of 108 km. How much energy must be added to the system to move the satellite
How many kilometers would you have to go above the surface of the earth for your weight to decrease to 28% of what it was at the surface
A circular coil enclosing an area of 160 cm2 is made of 190 turns of copper wire. what is the average current in the coil during that time
If the disk is released from rest with the small object at the end of a horizontal radius, find the angular speed when the small object is directly below the axis.
A performer seated on a trapeze is swinging back and forth with a period of 8.85 s. what will be the new period of the system
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