Kinetic Theory - Result Question 38

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39. A polyatomic gas with $n$ degrees of freedom has a mean energy per molecule given by [1989]

======= ####39. A polyatomic gas with $n$ degrees of freedom has a mean energy per molecule given by [1989]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/kinetic-theory/kinetic-theory—result-question-38.md (a) $\frac{n k T}{N}$

(b) $\frac{n k T}{2 N}$

(c) $\frac{n k T}{2}$

(d) $\frac{3 k T}{2}$

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Answer:

Correct Answer: 39. (c)

Solution:

  1. (c) According to law of equipartition of energy, the energy per degree of freedom is $\frac{1}{2} k T$.

For a polyatomic gas with $n$ degrees of freedom, the mean energy per molecule $=\frac{1}{2} n k T$