Medium MCQ +4 / -1 PYQ · JEE Mains 2022

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 $\frac{1}{2}$ RT average energy per mole.

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

(D) $\mathrm{CH}_{4}$ has a total of 6 degrees of freedom.

Choose the correct answer from the options given below :

  1. A (B) and (C) only
  2. B (B) and (D) only Correct answer
  3. C (A) and (B) only
  4. D (C) and (D) only

Solution

<p>Statement A is incorrect, statement B is correct by equipartition of energy. Statement C is incorrect as monoatomic does not have any rotational degree of freedom and CH<sub>4</sub> is a polyatomic gas so it has 6 degree of freedom. So only B and D are correct.</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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