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

1. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
2. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
3. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
4. (A)-(I), (B)-(IV), (C)-(III), (D)-(II)

Correct answer: (A)-(I), (B)-(III), (C)-(IV), (D)-(II)

Solution

The correct option accurately matches the degrees of freedom of different types of gases: monoatomic gases have only translational motion, rigid diatomic gases have translational and rotational motion, nonrigid diatomic gases add vibrational motion, and polyatomic gases have even more vibrational modes.

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