Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): Change in internal energy of a system containing n mole of ideal gas can be written as \(∆U=n{C}_{v}\left({T}_{f}-{T}_{i}\right)=\frac{nR}{\gamma -1}\left({T}_{f}-{T}_{i}\right),\) where \(\gamma =\frac{{C}_{p}}{C},{T}_{i}\)\(=\text{ initial temperature, }{T}_{f}=\text{ final temperature. }\)
Reason (R): Relation between degree of freedom \(f\text{ and }\gamma \left(={C}_{p}/{C}_{v}\right)\) \(\text{ is }\left(\gamma =1+\frac{2}{f}\right)\text{. }\)

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[JEE Main 2026, 5 Apr (Shift 1)]

Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): Change in internal energy of a system containing n mole of ideal gas can be written as \(∆U=n{C}_{v}\left({T}_{f}-{T}_{i}\right)=\frac{nR}{\gamma -1}\left({T}_{f}-{T}_{i}\right),\) where \(\gamma =\frac{{C}_{p}}{C},{T}_{i}\)\(=\text{ initial temperature, }{T}_{f}=\text{ final temperature. }\)
Reason (R): Relation between degree of freedom \(f\text{ and }\gamma \left(={C}_{p}/{C}_{v}\right)\) \(\text{ is }\left(\gamma =1+\frac{2}{f}\right)\text{. }\)

Choose the correct answer from the options given below:

[JEE Main 2026, 5 Apr (Shift 1)]

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