Law of Equipartition of Energy question from JEE Main 2022 (27 Jul, Shift 2)

Q1JEE Main 2022 · 27 JUL · SHIFT 2Medium

Law of Equipartition of Energy

Which statements are correct about degrees of freedom?

(A) A molecule with n degrees of freedom has n $^{2}$ different ways of storing energy. (B) Each degree of freedom is associated with $\frac{1}{2}$ RT average energy per mole.

(C) A monatomic gas molecule has 1 rotational degree of freedom whereas diatomic molecule has 2 rotational degrees of freedom.

(D) $\text{CH}_4$ has a total of 6 degrees of freedom.

Choose the correct answer from the options given below:

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Answer: (b)

(A) False: $n$ degrees of freedom means $n$ independent ways of storing energy, not $n^2$ .
(B) True: each degree of freedom gives $\dfrac{1}{2}RT$ per mole.
(C) False: a monatomic molecule has 0 rotational degrees of freedom.
(D) True: CH $_4$ is non-linear: 3 translational + 3 rotational = 6.
So the answer is (b) (B) and (D) only.

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Law of Equipartition of Energy question from JEE Main 2022 (27 Jul, Shift 2)

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