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Degrees Of Freedom

Mediumphysics

For diatomic gas at moderate temperature (rotations active, vibrations inactive) f =:

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About This Question

Subject
physics
Chapter
kinetic theory of gases
Topic
degrees of freedom
Difficulty
Medium
Year
2025
Tags
Degrees of FreedomDiatomic

Solution

Correct Answer:

5

The number of degrees of freedom () is the number of independent ways a molecule can possess energy.

  • Translational: All gas molecules have 3 translational degrees of freedom ( directions).
  • Rotational: A linear diatomic molecule (like ) can rotate about two axes perpendicular to the bond axis. Rotation about the bond axis itself has negligible moment of inertia and doesn't contribute at moderate temperatures.
  • Total = 3 (trans) + 2 (rot) = 5. Note: At very high temperatures, 2 vibrational degrees of freedom may also activate.

This medium difficulty physics question is from the chapter kinetic theory of gases, covering the topic of degrees of freedom. It appeared in the 2025 exam.

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