Kinetic Theory is a Class 11 Physics chapter that carries about 2.8% of the Physics questions in NEET. Practise it with 39 questions covering 2 topics, each with an explanation.
Sample questions on Kinetic Theory with answers
8 questions from the practice bank, spread across the chapter's topics. The full set is in the app.
Question 1: Kinetic Theory of Gases and Pressure
The number of molecules in one mole of a gas is given by:
- A Avogadro's number, 6.022 × 10²³
- B the Rydberg constant, 1.1 × 10⁷
- C Planck's constant, 6.63 × 10⁻³⁴
- D Boltzmann's constant, 1.38 × 10⁻²³
Answer: A. Avogadro's number, 6.022 × 10²³
Why: One mole of any substance contains 6.022 × 10²³ elementary entities.
Question 2: RMS Speed and Degrees of Freedom
The total translational kinetic energy of 1 mol of an ideal gas at 300 K is about (R = 8.31 J/mol K):
- A 2.5 kJ
- B 1.25 kJ
- C 6.2 kJ
- D 3.74 kJ
Answer: D. 3.74 kJ
Why: E = (3/2)RT = 1.5 × 8.31 × 300 ≈ 3740 J.
Question 3: Kinetic Theory of Gases and Pressure
Boyle's law, PV = constant at constant temperature, can be derived from the kinetic theory because:
- A the mean kinetic energy, and hence P × V, depends only on temperature
- B the number of molecules changes with volume
- C the molecules have zero volume and zero speed
- D the molecules attract each other strongly
Answer: A. the mean kinetic energy, and hence P × V, depends only on temperature
Why: From P = ⅓ρv² and the fact that the kinetic energy is fixed by T, PV = ⅔ × (total kinetic energy) is constant at fixed T.
Question 4: RMS Speed and Degrees of Freedom
At ordinary temperatures a diatomic gas molecule has how many degrees of freedom?
- A 5
- B 7
- C 3
- D 6
Answer: A. 5
Why: Three translational and two rotational; vibrational modes are not excited at room temperature.
Question 5: Kinetic Theory of Gases and Pressure
In a good vacuum, the mean free path of molecules becomes:
- A larger than the dimensions of the container
- B equal to the diameter of a molecule
- C smaller than the molecular size
- D zero
Answer: A. larger than the dimensions of the container
Why: Molecules then collide mostly with the walls and rarely with each other.
Question 6: RMS Speed and Degrees of Freedom
The rms speed of oxygen molecules (M = 32 g/mol) at 300 K is about (R = 8.31 J/mol K):
- A 270 m/s
- B 1500 m/s
- C 483 m/s
- D 48 m/s
Answer: C. 483 m/s
Why: v = √(3RT/M) = √(3 × 8.31 × 300/0.032) ≈ 483 m/s.
Question 7: Kinetic Theory of Gases and Pressure
The mean free path of the molecules of air at normal temperature and pressure is of the order of:
- A 1 m
- B 10⁻⁷ m
- C 10⁻³ m
- D 10⁻¹⁰ m
Answer: B. 10⁻⁷ m
Why: This is much larger than the molecular diameter, which is about 10⁻¹⁰ m.
Question 8: RMS Speed and Degrees of Freedom
The ratio Cp/Cv for a monatomic ideal gas is:
- A 5/3
- B 7/5
- C 4/3
- D 3/2
Answer: A. 5/3
Why: For f = 3, γ = 1 + 2/f = 5/3.