Q69 / 90 · JEE Main 2022 (27 Jul Shift 2) · Physics

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:

  • A
    B and C only
  • Correct answer
    B
    B and D only
  • C
    A and B only
  • D
    C and D only

Solution

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.

Hence, the correct answer is option: 'B'.

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