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Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)
- a)The system continuously switches among the nucrostates spending equal tune in each microstate
- b)The system continuously switches among the microstates spending unequal tune in each microstate
- c)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytem
- d)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostate
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Given a microstate of a system specified by (E, V, N). Which of the fo...
Given system can be treated as a micro-canonical ensemble in which (E, V, N) are fixed.
There can be many nucrostates complying with the given inicrostate. The switching of the members of the microcanonical ensemble among the nucrostates is governed by quantum evolution of states under the relevant Hamiltonian and has nothing to do with increase or decrease of entropy of the system. Given the state variables (£, V} AO, entropy is already fixed. The system described by a micro- canonical ensemble, has equal probability to be in any inicrostate.
Therefore , the system over along span of tune, spend sequal tune in each microstate .
There can be many nucrostates complying with the given inicrostate. The switching of the members of the microcanonical ensemble among the nucrostates is governed by quantum evolution of states under the relevant Hamiltonian and has nothing to do with increase or decrease of entropy of the system. Given the state variables (£, V} AO, entropy is already fixed. The system described by a micro- canonical ensemble, has equal probability to be in any inicrostate.
Therefore , the system over along span of tune, spend sequal tune in each microstate .
Most Upvoted Answer
Given a microstate of a system specified by (E, V, N). Which of the fo...
Explanation:
Continuous Switching Among Microstates:
- In a given microstate specified by (E, V, N), the system continuously switches among different microstates.
- The system spends an equal amount of time in each microstate, leading to the concept of equal time spent in each microstate.
Equal Time Spent in Each Microstate:
- This concept is based on the assumption that all microstates are equally probable and accessible to the system.
- The continuous switching among microstates allows the system to explore all possible configurations and achieve thermal equilibrium.
Role of Equal Time Spent:
- Equal time spent in each microstate is essential for statistical mechanics to accurately predict the macroscopic properties of the system.
- It ensures that the system samples all available microstates and provides a reliable basis for calculating thermodynamic quantities.
Conclusion:
- Therefore, in the context of a microstate specified by (E, V, N), the correct statement is that the system continuously switches among the microstates spending equal time in each microstate. This process is crucial for understanding the behavior of systems in statistical mechanics.
Continuous Switching Among Microstates:
- In a given microstate specified by (E, V, N), the system continuously switches among different microstates.
- The system spends an equal amount of time in each microstate, leading to the concept of equal time spent in each microstate.
Equal Time Spent in Each Microstate:
- This concept is based on the assumption that all microstates are equally probable and accessible to the system.
- The continuous switching among microstates allows the system to explore all possible configurations and achieve thermal equilibrium.
Role of Equal Time Spent:
- Equal time spent in each microstate is essential for statistical mechanics to accurately predict the macroscopic properties of the system.
- It ensures that the system samples all available microstates and provides a reliable basis for calculating thermodynamic quantities.
Conclusion:
- Therefore, in the context of a microstate specified by (E, V, N), the correct statement is that the system continuously switches among the microstates spending equal time in each microstate. This process is crucial for understanding the behavior of systems in statistical mechanics.
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Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer?
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Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer?.
Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given a microstate of a system specified by (E, V, N). Which of the following is correct with respect to the given microstate? (The symbols have their usual meaning)a)The system continuously switches among the nucrostates spending equal tune ineach microstateb)The system continuously switches among the microstates spending unequal tune in each microstatec)The process of continuous switching among the nucrostates is driven by the increase in entropy of the sytemd)The process of continuously switching among the microstates is driven by the requirement of attaining a unique inicrostateCorrect answer is option 'A'. Can you explain this answer?.
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