This problem is related to the equipartition theorem. Consider a system in which the energy of a
Question:
This problem is related to the equipartition theorem. Consider a system in which the energy of a particle is given by E = Au2, where A is a constant and u is any coordinate or momentum that can vary from - ∞ to + ∞.
(a) Write the probability of the particle having u in the range du and calculate the normalization constant C in terms of A.
(b) Calculate the average energy (E) = (Au2) and show that (E) = 1/2 kT.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
a b EIKT fu du Ce2 du Ce I du ...View the full answer
Answered By
Jonas Araujo
I have recently received the degree of PhD. In Physics by the Universidade Federal do Maranhão after spending a term in Durham University, as I have been awarded a scholarship from a Brazilian mobility program. During my PhD. I have performed research mainly in Theoretical Physics and published works in distinguished Journals (check my ORCID: https://orcid.org/0000-0002-4324-1184).
During my BSc. I have been awarded a scholarship to study for a year in the University of Evansville, where I have worked in detection-analysis of photon correlations in the the Photonics Laboratory. There I was a tutor in Electromagnetism, Classical Mechanics and Calculus for most of that year (2012).
I am very dedicated, honest and a fast learner, but most of all, I value a job well done.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
This problem is related to the Draper Consulting situation started in Chapter 1. Colin Draper, Dave Tau, and Sandi Williams decide to form a graphic design partnership. Colin figures this graphic...
-
This problem is related to the Daniels Consulting situation started in Chapter 1. Daniels, Tau, and Williams decide to form a graphic design partnership. Daniels figures this graphic design business...
-
Consider a system in which bus cycles takes 500 ns. Transfer of bus control in either direction, from processor to I/O device or vice versa, takes 250 ns. One of the I/O devices has a data transfer...
-
Read the Poem Little Birds Flying and answer the following questions: What it is notifying? To whom it is notifying? How is the work two dimensional? What does it take to realize the project? ...
-
The following cases are each independent of the others. Required: 1. Sam Lilliam places $5,000 in a savings account that pays 3 percent. Suppose Sam leaves the original deposit plus any interest in...
-
Use graphs to show why the price of corn has risen and show its effect on the price of cereals. Use the following information to work Problems 7 and 8. Pricier bread and cereal. Coming soon? Wheat...
-
Suppose that \(r=0, n=15\), and \(s_{y}=10\). Determine \(s\).
-
"For the data in the Excel file Gasoline Prices do the following: a. Develop spreadsheet models for forecasting prices using simple moving average and simple exponential smoothing. b. Compare your...
-
Units of production data for the two departments of Continental Cable and Wire Company for May of the current fiscal year are as follows: Work in process, May 1 Completed and transferred to next...
-
IBS is a global provider of point-of-sale systems and related services that enable businesses to accept electronic payments. As a new hire in the companys international headquarters accounting...
-
If the exclusion-principle repulsion in Problem 9-6 is given by Equation 9-2, compute the coefficient A and the exponent n. Problem 9-6 Compute the Coulomb energy of the KBr molecule at the...
-
Consider a system of N particles that has only two possible energy states, E 1 = 0 and E 2 = . The distribution function is f i = Ce -Ei/kT . (a) What is C for this case? (b) Compute the average...
-
Lloyd eats X pieces of pizza, where X is an integer-valued random variable that is equally likely to be any of the values 1 through 8, inclusive. He takes the extra pizza home to his family, but if...
-
Due to competition, Durango is considering lowering the unit sales price by 12% next year and increasing fixed marketing expenses by $60,000. If these changes are made, how many units must be sold...
-
On October 1, 2022, Deebo Mfg. got a 12-month loan of $400,000, bearing interest at 10% per year. Interest is payable in full at maturity on September 30, 2023. In connection with this loan, how much...
-
If f(x) = (4x-5)4 (3x + 6), find f'(x) using logarithmic differentiation.
-
What is (f ) '(0)?
-
Consider the following T-account for Accounts payable. Accounts Payable Debit Credit 10,500 8,800 4,800 ? Balance Compute the ending balance of the Accounts Payable account.
-
Is a member of a limited liability company who entered into an oral agreement for services personally liable if the existence of the LLC was not disclosed at the time services were requested or...
-
Find the APR in each of the following cases: NUMBER OF TIMES COMPOUNDED Semiannually Monthly Weekly Infinite EAR APR 10.4% 8.9 11.6 15.4
-
The quantity called mass density is the mass per unit volume of a substance. What are the mass densities in SI units of the following objects? a. A 215 cm 3 solid with a mass of 0.0179 kg. b. 95 cm 3...
-
The quantity called mass density is the mass per unit volume of a substance. What are the mass densities in SI units of the following objects? a. A 215 cm 3 solid with a mass of 0.0179 kg. b. 95 cm 3...
-
Figure P1.58 shows a motion diagram of a car traveling down a street. The camera took one frame every 10 s. A distance scale is provided. Figure P1-58 a. Measure the x-value of the car at each dot....
-
Several groups have put pressure on the FCC to mandate that cable companies offer their channels a la carte rather than in bundles. We are opposed to this measure and will continue to strive to...
-
In the current environment, we contrasts the American and Chinese economies in terms of using global, ethical, political, physical, and societal indicators.Does the size and growth of the economies...
-
let's consider a different market structure. In the automobile manufacturing industry, a few large firms dominate the market. These firms have significant market power and produce differentiated...
Study smarter with the SolutionInn App