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A system of N localized, non-interacting spin 1/2 ions of magnetic moment μ each is kept in an external magnetic field H. If the system is in equilibrium at temperature T, then Helmholtz free energy of the system is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A system of N localized, non-interacting spin1/2ions of magnetic momen...
Magnetic moment for spin 1/2 system
 ...(i)
∴ Partition function.     ...(ii)
from (1) and (2). we get

thus 
For N spins 
Helmholtz free energy, 
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Most Upvoted Answer
A system of N localized, non-interacting spin1/2ions of magnetic momen...
Magnetic moment for spin 1/2 system
 ...(i)
∴ Partition function.     ...(ii)
from (1) and (2). we get

thus 
For N spins 
Helmholtz free energy, 
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Community Answer
A system of N localized, non-interacting spin1/2ions of magnetic momen...
Magnetic moment for spin 1/2 system
 ...(i)
∴ Partition function.     ...(ii)
from (1) and (2). we get

thus 
For N spins 
Helmholtz free energy, 
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A system of N localized, non-interacting spin1/2ions of magnetic moment μ eachis kept in an external magnetic field H. If the system is in equilibrium at temperature T, then Helmholtz free energy of the system isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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