Match List I with List II: Choose the correct answer from the options given below: List I List II (A) 3 Translational degrees of freedom (I) Monoatomic gases (B) 3 Translational, 2 rotational degrees of freedom (II) Polyatomic gases (C) 3 Translational, 2 rotational and 1 vibrational degrees of freedom (III) Rigid diatomic gases (D) 3 Translational, 3 rotational and more than one vibrational degrees of freedom (IV) Nonrigid diatomic gases (a) (A)-(I), (B)-(III), (C)-(IV), (D)-(II) (b) (A)-(IV), (B)-(III), (C)-(II), (D)-(I) (c) (A)-(IV), (B)-(II), (C)-(I), (D)-(III) (d) (A)-(I), (B)-(IV), (C)-(III), (D)-(II)

Answer: (a). (A) Only 3 translational: monoatomic gas → (I). (B) 3 translational + 2 rotational: rigid diatomic → (III). (C) Adds 1 vibrational mode: non-rigid diatomic → (IV). (D) 3 rotational and several vibrational modes: polyatomic → (II). So the answer is (a).

Match List I with List II: Choose the correct answer from the options… | JEE Main 2023 (10 Apr, Shift 1)

Q16JEE Main 2023 · 10 APR · SHIFT 1Easy

Degrees of Freedom & Internal Energy

Match List I with List II:

Choose the correct answer from the options given below:

	List I		List II
(A)	3 Translational degrees of freedom	(I)	Monoatomic gases
(B)	3 Translational, 2 rotational degrees of freedom	(II)	Polyatomic gases
(C)	3 Translational, 2 rotational and 1 vibrational degrees of freedom	(III)	Rigid diatomic gases
(D)	3 Translational, 3 rotational and more than one vibrational degrees of freedom	(IV)	Nonrigid diatomic gases

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Answer: (a)

(A) Only 3 translational: monoatomic gas $\to$ (I).
(B) 3 translational + 2 rotational: rigid diatomic $\to$ (III).
(C) Adds 1 vibrational mode: non-rigid diatomic $\to$ (IV).
(D) 3 rotational and several vibrational modes: polyatomic $\to$ (II).
So the answer is (a).

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Degrees of Freedom & Internal Energy question from JEE Main 2023 (10 Apr, Shift 1)

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