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A system has two normal modes of vibration, with frequencies ω1 and ω2=2ω1. What is the probability that at temperature T, the system has an energy less than 4ℎω1? [In the following x=e−βℎω1 and Z is the partition function of the system
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
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A system has two normal modes of vibration, with frequenciesω1an...
Here, system has two normal modes of vibration. Therefore the possible energy of the system is given as,
Where, n1=n2 are vibrational quantum numbers. (n1=n2=0,1,2,3…) and ω2=2ω1.
Now, possible combinations of n1 and n2, such that system has an energy less than 4ℎω1 are given as,
Now, the probability of finding such energy level is given as,
Where, Z is the partition function.
Where, n1=n2 are vibrational quantum numbers. (n1=n2=0,1,2,3…) and ω2=2ω1.
Now, possible combinations of n1 and n2, such that system has an energy less than 4ℎω1 are given as,
Now, the probability of finding such energy level is given as,
Where, Z is the partition function.
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A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system has two normal modes of vibration, with frequenciesω1andω2=2ω1.What is the probability that at temperatureT,the system has an energy less than4ω1?[In the followingx=e−βω1andZis the partition function of the systema)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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