Question

Consider a system composed of two distinguishable free particles, each of which can have energy E...

Consider a system composed of two distinguishable free particles, each of which can have energy E = nε, for n = 0, 1, 2, .... List the microstates with energy E = 3ε.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a system composed of a very large number (N >>1) of indistinguishable atoms, each of...
Consider a system composed of a very large number (N >>1) of indistinguishable atoms, each of which has only two energy levels 0 and . In thermodynamic equilibrium, there are n particles each with energy  and the total energy of the system is E. (10 points) a) Write and equation for the number of microstates  in terms of N, E, and . b) Use the Stirling approximation to write an equation for the entropy S. E 1 and...
Consider a system of N distinguishable atoms, each of which can be in only one of...
Consider a system of N distinguishable atoms, each of which can be in only one of two states: the lowest energy state with energy 0, and an excited state with energy ɛ > 0. When there are n atoms in the excited state (and N-1 atoms in the lowest state), the total energy is U = nɛ. 1. Calculate the entropy S/k = ln(Ω(n)) and find the value of n for which it is maximum. 2. Find an expression for...
Consider a two-particle system. Each particle can have energy 0 and Δ. Compute the partition function...
Consider a two-particle system. Each particle can have energy 0 and Δ. Compute the partition function for the following case: a. When particles are distinguishable. b. When particles are fermions. c. When particles are Bosons.
For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in...
For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in an 1-D infinite potential well (V=0 for 0<x<a, V=infinite otherwise), 1)Write down the hamiltonian of the system. Obtain the eigenenergies and eigenfunctions of the hamiltonian by solving the Hamiltonian eigenequation? 2) For the second-lowest eigenenergy state, what is the probability to find particle 2 between 0< x < a/4
Consider the states of the combined total spin of two particles, each of which has spin...
Consider the states of the combined total spin of two particles, each of which has spin 5/2 with ms= +5/2, +3/2, +1/2, −1/2, −3/2, and −5/2. (a) How many macrostates are there corresponding to the different values of the total spin if the particles are distinguishable? (b) If the two particles are distinguishable, what is the total number of microstates for all the allowed macrostates? (c) If the two particles are indistinguishable, what is the total number of microstates for...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and 2ε (degeneracy of the states has to be determined from the given energy levels). Consider ε = 1 eV (see table for personalized parameters) and particles are in equilibrium at temperature T such that kT =0.5 eV: (i) Find the degeneracy of the energy levels and partition function of the system. (iii) What is the energy (in eV) of N = 100 (see table)...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0,...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0, 3E0, and 4E0. Taking into account the various ways the particles can fill those energy states, draw schemes of all the possible configurations with total energy E = 4E0 for the following cases: (a) The two particles are distinguishable. (b) The two particles are indistinguishable bosons. (c) The two particles are indistinguishable fermions.
Six identical but distinguishable particles share seven units of energy. Each particle can have energy only...
Six identical but distinguishable particles share seven units of energy. Each particle can have energy only in integral amounts. Create a table that lists all possible macrostates and for each macrostate compute its multiplicity. Using the values in your table compute the probability of randomly choosing a particle with energy E for all possible energies. What is the probability of randomly choosing a particle with energy E = 3 units? (A
A system consists of two particles, each of which has a spin of 3/2. a) Assuming...
A system consists of two particles, each of which has a spin of 3/2. a) Assuming the particles to be distinguishable, what are the macrostates of the z component of the total spin, and what is the multiplicity of each? b) What are the possible values of the total spin S and what is the multiplicity of each value? Verify that the total multiplicity matches that of part (a). c) Now suppose the particles behave like indistinguishable quantum particles. What...
A system consists of N = 106 particles that can occupy two energy levels: a nondegenerate...
A system consists of N = 106 particles that can occupy two energy levels: a nondegenerate ground state and a three-fold degenerate excited state, which is at an energy of 0.25 eV above the ground state. At a temperature of 960 K, find the number of particles in the ground state and in the excited state.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT