Degrees of Freedom, Law of Equipartition of Energy and Applications to Specific Heat Capacities of Gases NEET Questions

Physics - Kinetic Theory of Gases

Degrees of Freedom, Law of Equipartition of Energy and Applications to Specific Heat Capacities of Gases MCQ Questions


13.
In the total energy expression of a diatomic molecule (rigid rotator), how many squared terms appear?
A.
5 (3 from translation + 2 from rotation)
B.
2
C.
3
D.
7
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ANSWER :
A. 5 (3 from translation + 2 from rotation)
14.
The vibrational energy of a diatomic molecule oscillating along its interatomic axis is expressed as:
A.
εv = ½ky² only (potential energy)
B.
εv = m(dy/dt)² + ky²
C.
εv = ½m(dy/dt)² + ½ky², containing both kinetic and potential energy
D.
εv = ½m(dy/dt)² only (kinetic energy)
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ANSWER :
C. εv = ½m(dy/dt)² + ½ky², containing both kinetic and potential energy
15.
Which molecule even at moderate temperatures has a vibrational mode (unlike Oâ‚‚ which does not at moderate temperatures)?
A.
Nâ‚‚ (nitrogen)
B.
He (helium)
C.
CO (carbon monoxide)
D.
Ar (argon)
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ANSWER :
C. CO (carbon monoxide)
16.
The law of equipartition of energy was first proved by:
A.
Boltzmann
B.
Avogadro
C.
Newton
D.
Maxwell
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ANSWER :
D. Maxwell
17.
The law of equipartition of energy states that in thermal equilibrium at absolute temperature T, the average energy associated with each degree of freedom is:
A.
½ kBT
B.
kBT
C.
(3/2) kBT
D.
¼ kBT
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ANSWER :
A. ½ kBT
18.
According to the law of equipartition of energy, a monatomic gas molecule has average total kinetic energy equal to:
A.
(3/2) kBT
B.
kBT
C.
½ kBT
D.
(5/2) kBT
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ANSWER :
A. (3/2) kBT