JEE Main 2026 — Kinetic Theory of Gases Question with Solution
JEE Main 2026 (05 April Shift 1)
Question
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Statement I: Change in internal energy of a system containing mole of ideal gas can be written as , where , initial temperature, final temperature.
Statement II: Relation between degree of freedom and is
Choose the correct answer from the options given below
Statement I: Change in internal energy of a system containing mole of ideal gas can be written as , where , initial temperature, final temperature.
Statement II: Relation between degree of freedom and is
Choose the correct answer from the options given below
Choose an option
Show full solutionCorrect option: B
Correct answer
BBoth A and R are true but R is NOT the correct explanation of A
Step-by-step explanation
Statement I is true because for an ideal gas, the change in internal energy is given by . Using Mayer's relation and the ratio of specific heats , we can write . Substituting this, we get .
Statement II is true because according to the law of equipartition of energy, the molar heat capacity at constant volume is and at constant pressure is . Therefore, .
Statement II does not explain Statement I, as Statement I is derived purely from macroscopic thermodynamic relations (Mayer's relation) and is independent of the microscopic concept of degrees of freedom.
Hence, both statements are true but Statement II is NOT the correct explanation of Statement I.
Answer: Both A and R are true but R is NOT the correct explanation of A
Statement II is true because according to the law of equipartition of energy, the molar heat capacity at constant volume is and at constant pressure is . Therefore, .
Statement II does not explain Statement I, as Statement I is derived purely from macroscopic thermodynamic relations (Mayer's relation) and is independent of the microscopic concept of degrees of freedom.
Hence, both statements are true but Statement II is NOT the correct explanation of Statement I.
Answer: Both A and R are true but R is NOT the correct explanation of A
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This is a previous-year question from JEE Main 2026, covering the Kinetic Theory of Gases chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.