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JEE Main202227 Jul 2022Evening ShiftPhysicsKinetic Theory of GasesActual

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 1 2 R T 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 th

Options

  1. AB and C only
  2. BB and D only
  3. CA and B only
  4. DC and D only

Correct answer

B. B and D only

Step-by-step solution

According to the equipartition of energy, each degree of freedom carries 1 2 R T energy per mole and total energy per mole of a gas having n degrees of freedom is 1 2 n R T . 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 corre

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