Question

P13.7 The probability of occupying a given excited state $p_i$ is given by $p_i = n_i/N = e^{-\beta \epsilon_i/q}$, where $n_i$ is the occupation number for the state of interest, $N$ is the number of particles, and $\epsilon_i$ is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state.

Name: P13.7 The probability of occupying a given excited state pi is given by pi = ni/N = e^-β/q, where ni is the occupation number for the state of interest, N is the number of particles, and is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state.
Uploaded: 2022-06-30T20:53:10-08:00
Duration: 1 min 39 s
Channel: Timothy James
Description: P13.7 The probability of occupying a given excited state pi is given by pi = ni/N = e^-β/q, where ni is the occupation number for the state of interest, N is the number of particles, and is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state.

          P13.7 The probability of occupying a given excited state $p_i$ is given by $p_i = n_i/N = e^{-\beta \epsilon_i/q}$, where $n_i$ is the occupation number for the state of interest, $N$ is the number of particles, and $\epsilon_i$ is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state.

P13.7 The probability of occupying a given excited state pi is given by pi = ni/N = e^-β/q, where ni is the occupation number for the state of interest, N is the number of particles, and is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state.

Added by Hannah P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

06/30/2022

Step 1

Step 1: The probability of occupying a given excited state is given by p_(i) = (n_(i))/(N) = (e^(-\beta \epsi _(i)))/(q), where n_(i) is the occupation number for the state of interest, N is the number of particles, and \epsi _(i) is the energy of the level of Show more…

Show all steps

Thanks for your feedback!

P13.7 The probability of occupying a given excited state p_(i) is given by p_(i)=(n_(i))/(N)=(e^(-eta epsi _(i)))/(q), where n_(i) is the occupation number for the state of interest, N is the number of particles, and epsi _(i) is the energy of the level of interest. Demonstrate that the preceding expression is independent of the definition of energy for the lowest state. and s; is the energy of the level of interest. Demonstrate that energy for the lowest state.