Kinetic Theory

9 lessons

Topic index in NCERT order

9 of 9 lessons by the NCERT chapter they teach from, in book order. The page is the first printed page of your NCERT book the lesson cites; PYQs are the past NEET questions on that topic.

Class 11 Physics, Chapter 12

  1. Avogadro Numberp. 2461 PYQ
  2. Equation of State Perfect Gasp. 2471 PYQ
  3. Kinetic Theory Assumptionsp. 2480 PYQs
  4. Concept of Pressure Kinetic Theoryp. 2500 PYQs
  5. Degrees of Freedomp. 2521 PYQ
  6. Equipartition Energyp. 2521 PYQ
  7. Mean Free Pathp. 2552 PYQs
  8. Kinetic Interpretation Temperaturep. 2560 PYQs
  9. RMS Speed Gasp. 2561 PYQ

Past-paper questions from this unit

7 questions from NEET 2020, 2022, 2023, 2025, 2026. Answers verified against NTA official keys.

By year in our set: 2020 (2) · 2022 (1) · 2023 (1) · 2025 (1) · 2026 (2)

Lesson: Mean Free Path

Exam traps and common mistakes in this unit

Lesson: RMS Speed Gas

Category: Similar Terms

Student treats v_rms ∝ T instead of √T. Doubling T does NOT double v_rms; it multiplies by √2.

When it triggers

Question asks for new v_rms after T change.

How to avoid

v_rms = √(3RT/M). v_rms ∝ √T. To double v_rms, T must quadruple.

Lesson: RMS Speed Gas

Formulas in this unit

Lesson: Degrees of Freedom

Cv from degrees of freedom

Each quadratic DoF contributes (1/2)R to molar Cv. Mono: f=3, Cv=3R/2; di-rigid: f=5, Cv=5R/2; poly-rigid: f=6, Cv=3R.

SymbolQuantitySI Unit
Cvmolar specific heatJ/mol/K
fdegrees of freedom-
Rgas constantJ/mol/K

Valid when

  • Equipartition holds (temperature high enough)
  • Quadratic energy modes

Lesson: Equation of State Perfect Gas

Ideal gas equation

Fundamental equation of state of ideal gas relating pressure, volume, temperature.

SymbolQuantitySI Unit
PpressurePa
Vvolumem^3
nmolesmol
R8.314J/mol/K
Nmolecule count-
kBoltzmann 1.38e-23J/K
TtempK

Valid when

  • Gas obeys ideal gas approximation (low pressure, high temperature relative to phase transitions)

Lesson: Equipartition Energy

Average translational KE per molecule

Microscopic interpretation of temperature: T is direct measure of average translational kinetic energy.

SymbolQuantitySI Unit
kBoltzmann constantJ/K
Tabsolute temperatureK

Valid when

  • Translational degrees of freedom only
  • Ideal gas

Lesson: Kinetic Interpretation Temperature

RMS speed of gas molecules

Root-mean-square molecular speed; depends on T and molar mass M (or molecular mass m).

SymbolQuantitySI Unit
Rgas constantJ/mol/K
TtempK
Mmolar masskg/mol
kBoltzmannJ/K
mmolecular masskg

Valid when

  • Ideal gas
  • Maxwell-Boltzmann distribution

Lesson: Mean Free Path

Mean free path of gas molecule

Average distance between successive molecular collisions.

SymbolQuantitySI Unit
lambdamean free pathm
nnumber density1/m^3
dmolecular diameterm

Valid when

  • Hard-sphere model
  • Equilibrium gas

NEET question patterns in this unit

Lesson: Equation of State Perfect Gas

Lesson: Equipartition Energy

Lesson: Mean Free Path

Lesson: RMS Speed Gas

Questions about this unit

What does Kinetic Theory cover for NEET Physics?
9 lessons: Avogadro Number, Concept of Pressure Kinetic Theory, Degrees of Freedom, Equation of State Perfect Gas, Equipartition Energy, Kinetic Interpretation Temperature, Kinetic Theory Assumptions, Mean Free Path and RMS Speed Gas.
How often has Kinetic Theory come up in NEET past papers?
Our set of verified past papers has 7 questions from this unit, from NEET 2020, 2022, 2023, 2025 and 2026. Each is answered against the official NTA key.
Is the Kinetic Theory material free?
Yes. All 9 lessons and 72 practice questions are free, with no login needed.