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JEE Main 202227 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2022 · 27 July · Evening Shift · Physics · Kinetic Theory of Gases

Which statements are correct about degrees of freedom? A. A...

Which statements are correct about degrees of freedom?

A. A molecule with nn degrees of freedom has n2{n}^{2} different ways of storing energy.

B. Each degree of freedom is associated with 12RT\dfrac{1}{2}RT average energy per mole.

C. A monoatomic gas molecule has 11 rotational degree of freedom where as diatomic molecule has 22 rotational degrees of freedom

D. CH4{CH}_{4} has a total to 66 degrees of freedom.

Choose the correct answer from the option given below:

Options

  1. ABB and CC only
  2. BBB and DD only
  3. CAA and BB only
  4. DCC and DD only

Correct answer

B. BB and DD only

Step-by-step solution

According to the equipartition of energy, each degree of freedom carries 12RT\dfrac{1}{2}RT energy per mole and total energy per mole of a gas having nn degrees of freedom is 12nRT\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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