JEE Main 2022PhysicsKinetic Theory of GasesEasyMCQ

JEE Main 2022Kinetic Theory of Gases Question with Solution

JEE Main 2022 (27 Jul Shift 2)

Question

Which statements are correct about degrees of freedom?

A. A molecule with n degrees of freedom has n2 different ways of storing energy.

B. Each degree of freedom is associated with 12RT average energy per mole.

C. A monoatomic gas molecule has 1 rotational degree of freedom where as diatomic molecule has 2 rotational degrees of freedom

D. CH4 has a total to 6 degrees of freedom.

Choose the correct answer from the option given below:

Choose an option

Show full solutionCorrect option: B
Correct answer
BB and D only

Step-by-step explanation

According to the equipartition of energy, each degree of freedom carries 12RT energy per mole and total energy per mole of a gas having n degrees of freedom is 12nRT. Therefore, statement A is wrong and statement B is correct.

A monoatomic molecule only has translational degrees of freedom and does not have rotational degree of freedom. For a polyatomic model there are three rotational degrees of freedom and three translational degrees of freedom. Therefore, statement C is incorrect and statement D is correct.

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About this question

This is a previous-year question from JEE Main 2022, 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.