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Consider a quantum particle with potential energy V(x) which has a minimum and show that the energy eigenvalue E must exceed the minimum value of V(x) for every normalizable solution of the Schrodinger equation. (For simplicity, assume that the spacedependent part of the wavefunction u(x) is real.) What is the classical equivalent of this statement?
A 9.5 gram bullet hits a 5.4 kg block in collision as shown in the figure such that the block is free to rotate as a pendulum. what would be the final height of the block
A car of mass 2000kg is lifted up a a distance of 30m by a crane in 1 min. A second crane does the same job in 2 min. Do the crane consume the same or diffrent amounts of fuels
A cylindrical eraser of negligible mass is dragged across a paper at a constant velocity to the right by its pencil. The coefficient of kinetic friction between eraser and paper is 0.650. The pencil pushes down with 3.70 .
A 50 kg bag of sand at 25 C falls 10 m onto the pavement and comes to an abrupt Stop. What is the change in internal energy in the sand
An empty rubber balloon has a mass of 10-g. The balloon is filled with helium at a density of 181-kg/m^3. what is the tension in the line
Your 300 ml cup of coffee is too hot to drink when served at 92C.What is the mass of an ice cube, taken from a -19C freezer, that will cool your coffee to a pleasant 61C.
What is the propotion of the mass of these excess electrons to the mass of the penny.
A cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 7.70 cm. If the cork is 13.5 m from shore, how long does it take a ripple passing the cork to reach the shore? _____s
A sinusoidal wave traveling in the positive x-direction has a wavelength of 11 cm, a frequency of 13 Hz, and an amplitude of 19 cm. The part of the wave that is at the origin at t = 0 has a vertical displacement of 6 cm. For this wave, determine the ..
A 1.20 liter flask contains a certain quantity of ideal gas at 305 K. after that an equal number of molecules of the same gas are added to the flask, after which the absolute pressure is 1.30 times its unique value. What is the final temperature.
Laser light of wavelength 400 nm illuminates an array of very narrow slits, producing an interference pattern on a screen 70 cm from the slits. compute the separation between the slits
An electric fan is turned off, and its angular velocity decreases uniformly from 540 rev/min to 240rev/min in a time interval of length 3.65s, Find the number of revolutions made by the motor
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