An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfandbeta;andepsilon; = 2,the probability of finding the system in level andepsilon; = 0 is given as(1 + 2cosh 2)andalpha;.Find value of andalpha;?Correct answer is '-1'. Can you explain this answer?

EduRev

All Courses

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Physics Exam > Physics Questions > An ensemble of N three level systems with ene...

Join the Discussion on the App

An ensemble of N three level systems with energies

in thermal equilibrium at temperature T. Let

If βε = 2, the probability of finding the system in level ε = 0 is given as (1 + 2cosh 2)^α. Find value of α?

Correct answer is '-1'. Can you explain this answer?

FREE This question is part of

Statistical Physics NAT Level - 1

Attempt Test

Attempt this Test

Verified Answer

An ensemble of N three level systems with energiesin thermal equilibri...

The probability of finding the system in the energy state with energy ε may be defined

But

hence probability of finding the sytem with ε = 0 is

In question, βε₀ = 2 so

P(0) = (1 + 2cosh 2)^-1
⇒ α = 0.
The correct answer is: -1

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Physics exam

Similar Physics Doubts

A system of N localized, non-interacting spin 1/2ions of magnetic moment ineach is kept in an external magnetic field H. If the system is in equilibrium attemperature T, the Helmholtz free energy of the system is given asCalculate the value of α? Correct answer is '2'. Can you explain this answer?

View answer

Two thermally isolated systems have heat capacities which vary as Cv = βT2 (where β > 0). Initially one system is at 300 K and the other at 600 K. The systems are then brought into thermal contact and the combined system is allowed to reach thermal equilibrium. Then calculate the final temperature (in Kelvin) of the combined system. Correct answer is '495'. Can you explain this answer?

View answer

Consider a system of classical non-interacting particles constrained to be in the XY plane sub ject to the potential: V(x, y) = 1/2 * alpha * (x - y) ^ 2 If they are in equilibrium with a thermal bath at temperature T', what is the average energy per particle? The Boltzmann constant is k_{B}?

View answer

A system has two energy levels with energies ε and 2ε. The lower level is 4-fold degenerate while the upper level is doubly degenerate. If there are N non- interacting classical particles in the system in equilibrium at temperature T, calculate the partition function and the fraction of particles in the upper energy level.?

View answer

A system consists of N number of particles, N 1. Each particle can have only one of the two energies E1 or E1 + ( 0). If the system is in equilibrium at a temperature T, the average number of particles with energy E1 is

View answer

An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer?.

Solutions for An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.

Here you can find the meaning of An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer?, a detailed solution for An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? has been provided alongside types of An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An ensemble of N three level systems with energiesin thermal equilibrium at temperature T.LetIfβε = 2,the probability of finding the system in level ε = 0 is given as(1 + 2cosh 2)α.Find value of α?Correct answer is '-1'. Can you explain this answer? tests, examples and also practice Physics tests.

Explore Courses for Physics exam