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Consider a system of N particles obeying classical statistics, each of which can have an energy 0 or E. The system is in thermal contact with a reservoir maintained at a temperature T. Let k denote the Boltzmann constant. Which one of the following statements regarding the total energy U and the heat capacity C of the system is correct ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider a system of N particles obeying classical statistics, each of...
We can do it by using canonical partition function theorem.
U total =total no. of particles× sum of {(probability in energy state)×(corresponding energy states)}.
where P={( g ith) exp(-Energy in ith state/Kb T)}/ sum of exp(-E ith/Kb T). since there's nothing given about degeneracy of any states, we consider g=1 for each level.
therefore , U =N[ 0+ E{exp(-E/Kb T)}]/{1+ exp(-E/Kb T} and
C= dU/dT
so, upon manipulating just simple 2 steps, u will get option C.
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Consider a system of N particles obeying classical statistics, each of which can have an energy 0 or E. The system is in thermal contact with a reservoir maintained at a temperature T. Let k denote the Boltzmann constant. Which one of the following statements regarding the total energy U and the heat capacity C of the system is correct ?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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Consider a system of N particles obeying classical statistics, each of which can have an energy 0 or E. The system is in thermal contact with a reservoir maintained at a temperature T. Let k denote the Boltzmann constant. Which one of the following statements regarding the total energy U and the heat capacity C of the system is correct ?a)b)c)d)Correct answer is option 'C'. 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 Consider a system of N particles obeying classical statistics, each of which can have an energy 0 or E. The system is in thermal contact with a reservoir maintained at a temperature T. Let k denote the Boltzmann constant. Which one of the following statements regarding the total energy U and the heat capacity C of the system is correct ?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a system of N particles obeying classical statistics, each of which can have an energy 0 or E. The system is in thermal contact with a reservoir maintained at a temperature T. Let k denote the Boltzmann constant. Which one of the following statements regarding the total energy U and the heat capacity C of the system is correct ?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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