IIT JAM
   Top Resources
Vijay posted an Question
July 11, 2020 • 18:05 pm 30 points
  • IIT JAM
  • Physics (PH)

Thermodynamics

12. In 1-dimension, an ensemble of N classical particles P? 2m 1 has energy of the form E +kx. The averagee internal energy of the system at temperature T 1S (a) 2 3 2,Tr (c) 3NkT (b)Nk,T 2 (d) Nk,T JAM PH-2014] Ans. (d)

2 Answer(s) Answer Now
  • 0 Likes
  • 4 Comments
  • 0 Shares
  • comment-profile-img>
    Dhairya sharma

    dear we can solve it by two different method.

    eduncle-logo-app

    we can solve it by partition fxn as well. or from thermo as well . means statistically as well

  • comment-profile-img>
    Ruby negi

    see this also..

    cropped806522591.jpg
    cropped-1638112373.jpg
    eduncle-logo-app

    u could see a little difference here in finding the internal energy, here I first calculate total partition function and then internal energy while in my previous attached page, I first calculate partition function and internal energy for one particle and then total energy by multiplying N..

  • comment-profile-img>
    Ruby negi best-answer

    using equipartition theorm, for one particle, total energy is kT because 1/2*kT for potential energy and 1/2*KT for k.E so for N particles, it is NkT.. option d

    eduncle-logo-app

    So, what is the purpose of giving the energy form as E=p2/2m+0.5kx^2??

    eduncle-logo-app

    each degree of freedom contribute 1/2*kT of energy so if E is not given, then u can find the d.o.f associated with k.E or P.E..

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers

Sign Up to Download FREE Study Material Worth Rs. 500/-