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Consider a system of five particles, inside a container where the allowed energy levels are nondegenerate and evenly spaced. For instance, the particles could be trapped in a one-dimensional harmonic oscillator potential. In this problem you will consider the allowed states for this system, depending on whether the particles are identical fermions, identical bosons, or distinguishable particles.
(a) Describe the ground state of this system, for each of these three cases.
(b) Suppose that the system has one unit of energy (above the ground state). Describe the allowed states of the system, for each of the three cases. How many possible system states are there in each case?
(c) Repeat part (b) for two units of energy and for three units of energy.
(d) Suppose that the temperature of this system is low, so that the total energy is low (though not necessarily zero). In what way will the behavior of the bosonic system differ from that of the system of distinguishable particles? Discuss.
Consider a fully charged 25.0- ? F capacitor, a 66.7- ? resistor, and an 30.0-mH inductor connected in a simple, What is the angular frequency of the underdamped electrical oscillation in this circuit
As a particle moves from the origin to (1i + 7j) m, it is acted upon by a force given by (2i + 6j) N. Calculate the work done by this force on the particle
You want to support a sheet of fireproof paper horizontally, using only a vertical upward beam of light spread uniformly over the sheet. If the paper is black and hence absorbs all the light that hits it, find what must be the intensity of the light..
can someone please help me with this problem? i have tried it so many ways and it still comes back as incorrect.suppose
using planck's law, Evaluate the Stefan-Boltzmann constant and Evalute the constant in the wien displacement law
On a particular afternoon in Houston, the nitrogen (N2) molecules in the air have an rms speed of 511 m/s. What is the rms speed of the carbon dioxide (CO2) molecules
You are spin coating a thin layer of polymer onto a reflective silicon wafer to create an organic solar cell device. What thickness would you determine the film to be
A paperweight, when weighed in air, has a weight of W = 16.1 N. When completely immersed in water, Find the volume of the paperweight
The vertical displacement y(x,t) of a string stretched along the horizontal x-axis is given by y(x,t) = (6.00 mm) cos[(3.25 m-1)x - (7.22 rad/s)t]. What is the distance between adjacent crests of the wave
A proton travels with the speed of 8.34×105 m/s at an angle of 32.3° with the direction of a magnetic field. The field exerts a force of 3.00×10-17 N on the proton. What is the strength of the field.
A transformer consisting of two coils wrapped around an iron coreis connected to a generator and a resistor, as shown in thedrawing. There are 11 turnsin the primary coil and 22 turns in the secondary coil. The peakvoltage across the resistor is 73.8..
A car of mass m = 1380 kg is pushed off a cliff of height h = 25 m. If the car lands a distance of 11 m from the base of the cliff, what was the kinetic energy of the car the instant after it left the cliff
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