Degrees of Freedom Trick! 💨 | RENEET 2026 Physics

Does calculating degrees of freedom confuse you? Let's decode this high-yield ReNEET 2026 Physics question on the Kinetic Theory of Gases with Prof. P.C. Thomas & Chaithanya Classes! 👇

The question asks for the number of vibrational modes (f) given the ratio of heat capacities (Cp/Cv). Here is the foolproof way to solve it:

Step-by-Step Breakdown:

The Formula: The ratio of heat capacities is denoted by gamma (γ). The formula linking gamma to total degrees of freedom (N) is: γ = 1 + (2 / N).

Finding Total Degrees of Freedom: We are given γ = 8/7.
1 + (2 / N) = 8 / 7
2 / N = 1 / 7
N = 14 (Total degrees of freedom)

Breaking Down 'N': Total degrees of freedom = Translational + Rotational + Vibrational.
Remember, EACH vibrational mode contributes 2 degrees of freedom (one for kinetic energy, one for potential energy).
So, N = 3 (trans) + 3 (rot) + 2f (vib).

The Final Calculation: 14 = 6 + 2f
2f = 8
f = 4

The correct answer is Option (2)! ✅

Did you remember to multiply the vibrational modes by 2, or did the examiner trick you? Let us know in the comments! 👇

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Видео Degrees of Freedom Trick! 💨 | RENEET 2026 Physics канала Prof. P. C. Thomas & Chaithanya JEE, NEET, 11 & 12