JEE Main 2025 Apr 7 Shift 1, Physics Q13: Law of Equipartition of Energy

JEE Main2025Apr 7, Shift 1Physics

Q.

Match the List-I with List-II

List-I	List-II
A. Triatomic rigid gas	I. $\frac{C _{P}}{C _{V}} = \frac{5}{3}$
B. Diatomic non-rigid gas	II. $\frac{C _{P}}{C _{V}} = \frac{7}{5}$
C. Monoatomic gas	III. $\frac{C _{P}}{C _{V}} = \frac{4}{3}$
D. Diatomic rigid gas	IV. $\frac{C _{P}}{C _{V}} = \frac{9}{7}$

Choose the correct answer from the options given below :

A
A-III, B-IV, C-I, D-II
B
A-III, B-II, C-IV, D-I
C
A-II, B-IV, C-I, D-III
D
A-IV, B-II, C-III, D-I

Solution

Use the equipartition relation $γ = 1 + \frac{2}{f}$ , where $f$ is the number of active degrees of freedom.

Gas type	$f$	$γ = 1 + 2/ f$
Monoatomic (C)	3	$5/3$ $\to$ I
Diatomic rigid (D)	5	$7/5$ $\to$ II
Triatomic rigid (A)	6	$4/3$ $\to$ III
Diatomic non-rigid (B)	7	$9/7$ $\to$ IV

Matches: A $-$ III, B $-$ IV, C $-$ I, D $-$ II.

$∴$ Option (1).

Concept behind this question

Law of Equipartition of EnergyNotes, formulas and examples →

More previous year questions on Law of Equipartition of Energy

Practice more Physics

Concept-wise practice with instant solutions on Fundamenthol.

Start practicing →