Selected MCQ

Current Question
In the canonical ensemble, the probability of a microstate with energy (E_i) is proportional to:
  • A. (e^{+E_i/kT})
  • B. (e^{-E_i/kT})
  • C. (E_i/kT)
  • D. (1/E_i)
Correct Answer: B
Explanation:
The Boltzmann factor assigns lower probability to higher-energy microstates.
Related Question 1
A particle in a one-dimensional infinite potential well has energy proportional to:
  • A. (n)
  • B. (n^2)
  • C. (1/n)
  • D. (\ln n)
Correct Answer: B
Explanation:
Energy levels scale as (n^2) in a particle-in-a-box model.
Related Question 2
Which energy source is sustainable?
  • A. Coal
  • B. Oil
  • C. Solar
  • D. Gas
Correct Answer: C
Explanation:
Solar is sustainable.
Related Question 3
Which energy is motion?
  • A. Potential
  • B. Thermal
  • C. Kinetic
  • D. Chemical
Correct Answer: C
Explanation:
Motion defines kinetic energy.
Related Question 4
The partition function (Z) is related to Helmholtz free energy (F) by:
  • A. (F = kT \ln Z)
  • B. (F = -kT \ln Z)
  • C. (F = Z/kT)
  • D. (F = k/Z)
Correct Answer: B
Explanation:
Helmholtz free energy derives from partition function logarithm.
Related Question 5
Which energy is stored?
  • A. Kinetic
  • B. Potential
  • C. Thermal
  • D. Light
Correct Answer: B
Explanation:
Potential energy is stored.