Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 10, Problem 1Q
To determine
The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.
Expert Solution & Answer
Answer to Problem 1Q
The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.
Explanation of Solution
Assumptions of Maxwell-Boltzmann distribution are given below.
- Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
- Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
- There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.
Assumptions of Fermi-Dirac distribution are given below.
- Particles are indistinguishable.
- Not more than one particle can lie in a given state.
Assumptions of Bose-Einstein distribution are given below.
- Particles are indistinguishable.
- There is no limit on number of particles in a state.
Conclusion:
Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Suppose you have an ideal gas of fermions at room temperature (293 K). How large must E EF be for Fermi-Dirac and Maxwell-Boltzmann statistics to agree to within 1%? Do you think the agreement is within 1% for ideal gases under normal conditions?
Is this a maxwell-boltzman distribution curve or is it something else?
Is this a maxwell-boltzman distribution curve
Chapter 10 Solutions
Modern Physics
Ch. 10 - Prob. 1QCh. 10 - Prob. 2QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 8PCh. 10 - The light from a heated atomic gas is shifted in...
Ch. 10 - Prob. 10PCh. 10 - To obtain a more clearly defined picture of the...Ch. 10 - Prob. 12PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 26P
Knowledge Booster
Similar questions
- How does the Boltzmann distribution and statistics explain the behavior of an ideal gas in terms of the distribution of molecular energies and the probability of various energy states?arrow_forwardDefine the Partition Function using Boltzmann factors ?arrow_forwardGiven Maxwell-Boltzmann distribution f(v) derive energy distribution F(E), where E=mv^2/2.arrow_forward
- If the maxwell’s wheel were to rotate twice as fast, how much would its kinetic energy increase?arrow_forwardI do not understand how the professor came to the conclusion for the Vcenter equation.arrow_forwardAn airplane, of overall length 55 ft, is designed to fl y at680 m/s at 8000-m standard altitude. A one-thirtieth-scalemodel is to be tested in a pressurized helium wind tunnel at20 ° C. What is the appropriate tunnel pressure in atm? Evenat this (high) pressure, exact dynamic similarity is notachieved. Why?arrow_forward
- Using the Maxwell speed distribution (p(v), derive the expression for the root mean square speed. Be sure to show all steps to receive credit.arrow_forwardFor a system of fermions at room temperature, compute the probability of a single-particle state being occupied if its energy is. 1 eV less than μarrow_forwardIn the text, we showed that if the Clausius statement is false, the Kelvin statement must also be false. Now show the reverse, such that if the Kelvin statement is false, it follows that the Clausius statement is false.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning