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Kinetic Theory

JEE Main level, single correct, medium

82 of 168

Question 82 of 168

Which statements are correct about degrees of freedom?
A. A molecule with $n$ degrees of freedom has ${n}^{2}$ different ways of storing energy.
B. Each degree of freedom is associated with $\dfrac{1}{2}RT$ 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. ${CH}_{4}$ has a total to $6$ degrees of freedom.
Choose the correct answer from the option given below:

Show answer and solution

Answer: (B) $B$ and $D$ only

According to the equipartition of energy, each degree of freedom carries

\dfrac{1}{2}RT

energy per mole and total energy per mole of a gas having

n

degrees of freedom is

\dfrac{1}{2}nRT

. 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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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinetic Theory (Degree of Freedom and Specific Heat), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.