Prove analytically that the entropy of a two-statesystem? is maximized when p + = p ? =
Question:
Prove analytically that the entropy of a two-statesystem?
is maximized when p+ = p? = 1/2.
Transcribed Image Text:
S = -kB (p+ In p+ +p_ In p_) = -kB (P+ In p4 + (1 – P+) In(1 – P+))
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
Let p x then S k B x ln x 1 x ln1 x so at an ex...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
Prove analytically that the convolution of any function (x) with a delta function, (x), generates the original function (X).
-
Show that radiation at a distribution of temperatures decreases the estimate (34.34) of the uniform temperature radiative response 0 by proving the result in the case where the radiation comes from...
-
The third law of thermodynamics states that the entropy of a perfect crystal at 0 K is zero. In Appendix 4, F-(aq), OH-(aq), and S2-(aq) all have negative standard entropy values. How can S8 values...
-
Derek and Wes take a photograph of a lake at the same angle and the same time of day. Derek's picture comes out with crisp edges around objects in the photo. Wes's picture seems to blur the outlines...
-
Before attempting this problem, review Examples 7 and 8. Two curves on a highway have the same radii. However, one is unbanked and the other is banked at an angle u. A car can safely travel along the...
-
Build a TG that accepts the language L 1 of all words that begin and end with the same double letter, either of the form aa . . . aa or bb . . . bb.
-
Which of the following statistics is really the same thing as the effective periodic interest rate that we've discussed in earlier chapters? a. Arithmetic average b. Geometric average c. Population...
-
Chucks Brokerage Service (CBS) is a discount financial services firm offering clients investment advice, trading services, and a variety of mutual funds for investment. Chuck has collected the...
-
complete this problem. Graph the equation. 3 y=2x 10- 8 9 6- 41 2- Use the graphing tool on the right to graph the -10 B 6 -4 -2 equation. 2 Click to + enlarge graph -6 9
-
Q#02: If group member end up "working around shirkers", do you think this information should be communicated to the instructor so that each individual's contribution to the pr oject is judged more...
-
Consider an amount of helium gas at atmospheric pressure and room temperature (T = 300K) enclosed in a 1-liter partition within a cubic meter. The volume outside the partition containing the helium...
-
Consider air to be a mixture of 78% nitrogen, 21%oxygen, and 1% argon. Estimate the minimum amount of energy that it takes to separate a cubic meter of air into its constituents at STP, by computing...
-
Homejoy Products is the UK subsidiary of the European Schoenheim Group, whose headquarters are in Frankfurt. Homejoys UK sites and operations are summarized below: Bletchley factory employing 600...
-
value based erm approach quantifies individual risk scenarios and enterprise risk exposure in a consistent manner. is this statement correct. Explain
-
40 g Dried Porcini Mushrooms 108 g Olive Oil 100 g Butter, Unsalted 1680 g Onions, Diced 30 g Garlic Cloves, Crushed 1200 g Arborio Rice 3696 g Vegetable Stock 400 g Parmesan 600 g Mozzarella (Fresh)...
-
Draft Company purchased 14,000 shares of Hamburg Corporation's 40,000 shares of common stock on January 1. This represented 35% of Hamburg's outstanding shares and gave Draft Company significant...
-
Loapo Ohyeah and her team are competing in a speed skating relay race having n race segments, where each race segment has integer length. Loapo will skate exactly two of the race segments, and she...
-
Dwight Donovan, the president of Donovan Enterprises, is considering 2 investment opportunities. Because of limited resources, he will be able to invest in only 1 of them. Project A is to purchase a...
-
The two electrons in a helium atom are separated by about 0.10 nm and the separation between either electron and the nucleus is about 0.050 nm. What is the total electric potential energy of the...
-
What is the difference between adsorption and absorption?
-
If a pilot accelerates at more than 4g, he begins to gray out but doesnt completely lose consciousness. (a) Assuming constant acceleration, what is the shortest time that a jet pilot starting from...
-
Air-Bag Injuries. During an auto accident, the vehicles air bags deploy and slow down the passengers more gently than if they had hit the windshield or steering wheel. According to safety standards,...
-
Prevention of Hip Fractures. Falls resulting in hip fractures are a major cause of injury and even death to the elderly. Typically, the hips speed at impact is about 2.0 m/s. If this can be reduced...
-
Which of the following is an internal control?Select one:a.A review of receipts against deposits.b.A monthly trial balance which ensures that all accounts are properly balanced.c.Keeping of petty...
-
Which of the following is not a motivating factor to move a firm's operations overseas? a. Lower production costs. b. High overseas taxes on non-repatriated earnings. c. Avoidance of tariffs. d....
-
Portal Doors sells steel entry doors for $285 each. The firm has fixed costs of $380,000 and variable costs per unit of $125. What is Portal's break-even point in sales dollars? Select answer from...
Study smarter with the SolutionInn App