🧠 Kinetic Theory of Gases – Stage 3 (Page 8)
Advanced Mixed Concept Problems (IIT-JEE)
🔹 Problem 1 (Energy vs Speed Trap)
Two gases A and B have same average kinetic energy. Which statement is correct?
- A) Same RMS speed
- B) Same temperature
- C) Same molar mass
- D) Same pressure
Correct Answer: B
⟨KE⟩ = (3/2)kT → depends only on temperature
IIT Trap: Same KE ≠ same speed
🔹 Problem 2 (Collision Frequency)
If temperature increases, collision frequency of gas molecules:
- A) Increases
- B) Decreases
- C) Remains same
- D) Becomes zero
Correct Answer: A
Higher temperature → higher speed → more collisions
🔹 Problem 3 (Pressure Logic – Advanced)
Pressure of gas becomes double when:
- A) Speed doubles
- B) KE doubles
- C) RMS speed doubles
- D) Mean square speed doubles
Correct Answer: D
P ∝ ⟨c²⟩
🔹 Problem 4 (Mean Free Path – Conceptual)
Which change increases mean free path?
- A) Increase pressure
- B) Increase temperature
- C) Increase density
- D) Increase molecular diameter
Correct Answer: B
λ ∝ T / P
🔹 Problem 5 (Graph-Based Thinking)
At constant pressure, graph of vrms vs T is:
- A) Straight line
- B) Parabola
- C) Square root curve
- D) Hyperbola
Correct Answer: C
🔹 Problem 6 (Gas Mixture – Advanced)
Two gases at same temperature are mixed. Which quantity becomes equal for both?
- A) RMS speed
- B) Average speed
- C) Mean free path
- D) Average KE
Correct Answer: D
🔹 Problem 7 (Conceptual IIT Favorite)
Which quantity is independent of molecular mass?
- A) RMS speed
- B) Average KE
- C) Mean free path
- D) Collision frequency
Correct Answer: B
⚠️ Hidden IIT Traps (Page 8)
- Confusing speed with energy
- Forgetting square-root dependence
- Ignoring constant conditions
- Wrong proportionality assumptions
💡 Examiner’s Mindset
- Test proportional reasoning
- Mix two formulas in one question
- Exploit unit & graph confusion
🏆 Stage 3 – Page 8 Completed (Elite Level)
📚 IIT–JEE Physics Complete Library (Class XI)
Curated for IIT-JEE Advanced Aspirants
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🔥 Kinetic Theory of Gases (KTG) – Complete Library
- KTG – Part 1
- KTG – Part 2
- KTG – Part 3
- KTG – Part 4
- KTG – Part 5
- KTG – Part 6
- KTG – Part 7
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- KTG – Part 11
- KTG – Part 12
- KTG – Part 13
- KTG – Part 14
- KTG – Part 15
- KTG – Part 16
- KTG – Part 17
- KTG – Part 18
- KTG – Part 19
- KTG – Part 20
- KTG – Part 21
- KTG – Part 22
- KTG – Part 23
- KTG – Part 24
- KTG – Part 25
- KTG – Part 26
- KTG – Part 27
- KTG – Part 28
- KTG – Part 29
- KTG – Part 30
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- Properties – Part 1
- Properties – Part 2
- Properties – Part 3
- Properties – Part 4
- Properties – Part 5
- Properties – Part 6
- Properties – Part 7
- Properties – Part 8
- Properties – Part 9
- Properties – Part 10
- Properties – Part 11
- Properties – Part 12
- Properties – Part 13
- Properties – Part 14
- Properties – Part 15
- Properties – Part 16
- Properties – Part 17
- Properties – Part 18
- Properties – Part 19
- Properties – Part 20
- Properties – Part 21
- Properties – Part 22
- Properties – Part 23
- Properties – Part 24
- Properties – Part 25
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