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A three dimensional harmonic oscillator is in thermal equilibrium with a temperature reservoir at temperature T. The average total energy of the oscillator is :
  • a)
  • b)
    kT
  • c)
    3kT
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A three dimensional harmonic oscillator is in thermal equilibrium with...
Equipartition of Energy: E = 1/2 fkT
f = Degree of Freedom (DoF)

3D harmonic oscillator has 6 DoF = 3 components of momentum (kinetic energy) and 3 components of position (potential energy)
→ E = 6/2kT = 3kT
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Most Upvoted Answer
A three dimensional harmonic oscillator is in thermal equilibrium with...
It's c, because it is asked about average of the total energy. means KE+PE , a/c equipartition theorem it's 3×{(KT/2) +KT/2}= 3KT
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Community Answer
A three dimensional harmonic oscillator is in thermal equilibrium with...
Average K.E. in one dimension is 
Average K.E. in 3 dimension is 
The correct answer is: 
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A three dimensional harmonic oscillator is in thermal equilibrium with a temperature reservoir at temperatureT. The average total energy of the oscillator is :a)b)kTc)3kTd)Correct answer is option 'A'. Can you explain this answer?
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