Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Heat and Thermodynamics question

2023 · 10 Apr · Shift 1 · Q62
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Heat and Thermodynamics
  5. /2023 · 10 Apr · Shift 1 · Q62

Heat and Thermodynamics question

2023 · 10 Apr · Shift 1 · Q62

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

Match List I with List II :

List I List II
(A) 3 Translational degrees of freedom (I) Monoatomic gases
(B) 3 Translational, 2 rotational degrees of freedoms (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

Choose the correct answer from the options given below:

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

Correct answer: A

  1. Identify the molecular degrees of freedom for each type of gas

For gases, the active degrees of freedom are:

  • Translational: always 333
  • Rotational:
    • monoatomic: 000
    • diatomic (rigid): 222
    • nonlinear polyatomic: 333
  • Vibrational:
    • rigid diatomic: ignored
    • nonrigid diatomic: can have 111 vibrational mode considered
    • polyatomic: more than one vibrational mode
  1. Match each entry in List I

(A) 3 translational degrees of freedom

This corresponds to a monoatomic gas, because monoatomic molecules have only translational motion.

So, (A)→(I)(A) \to (I)(A)→(I)

(B) 3 translational, 2 rotational degrees of freedom

This is the case for a rigid diatomic gas.

So, (B)→(III)(B) \to (III)(B)→(III)

(C) 3 translational, 2 rotational and 1 vibrational degrees of freedom

This corresponds to a nonrigid diatomic gas, where vibrational motion is also present.

So, (C)→(IV)(C) \to (IV)(C)→(IV)

(D) 3 translational, 3 rotational and more than one vibrational degrees of freedom

This corresponds to polyatomic gases.

So, (D)→(II)(D) \to (II)(D)→(II)

  1. Final matching

Thus the correct matching is:

(A)−(I), (B)−(III), (C)−(IV), (D)−(II)(A)-(I),\ (B)-(III),\ (C)-(IV),\ (D)-(II)(A)−(I), (B)−(III), (C)−(IV), (D)−(II)

This matches Option A.

  1. Comparison with stored answer

Stored correct answer: A

My derived answer: A

So, the derived answer agrees with the stored correct answer.

PreviousNext

More from Heat and Thermodynamics

  • A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,2023 · MCQ
  • A gas is compressed adiabatically, which one of the following statement is NOT true.2023 · MCQ
  • 1 kg of water at 100∘C is converted into steam at 100∘C by boiling at atmospheric pressure. The volume of water changes from 1.00×10−3 m3 as a liquid to 1.671 m3…2023 · MCQ
  • On a temperature scale 'X', the boiling point of water is 65∘X and the freezing point is −15∘X. Assume that the X scale is linear. The equivalent temperature corresponding to −95∘X…2023 · MCQ
  • Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafloride (polyatomic). Arrange these on…2023 · MCQ
  • The Thermodynamic process, in which internal energy of the system remains constant is2023 · MCQ
  • The root mean square speed of molecules of nitrogen gas at 27∘C is approximately : (Given mass of a nitrogen molecule =4.6×10−26 kg and take Boltzmann constant kB​=1.4×10−23JK−1…2023 · MCQ
  • If the r. m.s speed of chlorine molecule is 490 m/s at 27∘C, the r. m. s speed of argon molecules at the same temperature will be (Atomic mass of argon =39.9u, molecular mass of…2023 · MCQ