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🔥 Kinetic Theory of Gases – Stage 3 (Page 5)

Ultimate Mixed Concept Problems (IIT-JEE Advanced)

This page tests whether you truly understand: temperature, pressure, collisions, degrees of freedom, and energy flow.


🔹 Question 1 (Temperature vs Speed Trap)

Two gases A and B have the same RMS speed. Molecular mass of A is four times that of B. Which statement is correct?

  • A) Temperature of A is higher
  • B) Temperature of B is higher
  • C) Both have same temperature
  • D) Data insufficient

Correct Answer: B

Explanation:
vrms = √(3kT/m)
If mA = 4mB, then TA = 4TB is needed for same speed. Given speeds are same → lighter gas must be hotter.


🔹 Question 2 (Container Acceleration)

A gas is enclosed in a container accelerating horizontally. Which wall experiences maximum pressure?

  • A) Front wall
  • B) Back wall
  • C) Both equal
  • D) Depends on temperature

Correct Answer: B

Concept:
In non-inertial frame, pseudo force increases collision frequency at back wall.


🔹 Question 3 (Energy Distribution)

Which quantity depends only on temperature and not on molecular mass?

  • A) RMS speed
  • B) Average speed
  • C) Mean kinetic energy
  • D) Momentum

Correct Answer: C

Reason:
⟨KE⟩ = (3/2)kT (independent of mass)


🔹 Question 4 (Free Expansion + Collision)

Gas expands freely into vacuum. After expansion:

  • A) Collision frequency increases
  • B) Collision frequency decreases
  • C) Temperature increases
  • D) RMS speed changes

Correct Answer: B

Why?
Volume increases → number density decreases → fewer collisions.


🔹 Question 5 (Degrees of Freedom)

At very high temperature, a diatomic gas behaves like:

  • A) Monoatomic gas
  • B) Polyatomic gas
  • C) Rigid body
  • D) Plasma

Correct Answer: B

Explanation:
Vibrational modes activate at high temperature.


🔹 Question 6 (Speed Distribution Curve)

If temperature increases:

  • A) Peak shifts left
  • B) Peak height increases
  • C) Curve broadens
  • D) Area changes

Correct Answer: C

Key Idea:
Area remains constant (same number of molecules).


⚠️ Ultimate IIT Traps on This Page

  • Same speed ≠ same temperature
  • Acceleration changes pressure distribution
  • Free expansion changes collision frequency, not temperature

🏁 Stage 3 – Page 5 Completed (KTG Mastery Level)

📚 IIT–JEE Physics Complete Library (Class XI)

Curated for IIT-JEE Advanced Aspirants
Concepts • Numericals • Objective Questions • Revision Capsules


🔥 Kinetic Theory of Gases (KTG) – Complete Library

  1. KTG – Part 1
  2. KTG – Part 2
  3. KTG – Part 3
  4. KTG – Part 4
  5. KTG – Part 5
  6. KTG – Part 6
  7. KTG – Part 7
  8. KTG – Special Notes
  9. KTG – Part 9
  10. KTG – Part 10
  11. KTG – Part 11
  12. KTG – Part 12
  13. KTG – Part 13
  14. KTG – Part 14
  15. KTG – Part 15
  16. KTG – Part 16
  17. KTG – Part 17
  18. KTG – Part 18
  19. KTG – Part 19
  20. KTG – Part 20
  21. KTG – Part 21
  22. KTG – Part 22
  23. KTG – Part 23
  24. KTG – Part 24
  25. KTG – Part 25
  26. KTG – Part 26
  27. KTG – Part 27
  28. KTG – Part 28
  29. KTG – Part 29
  30. KTG – Part 30

📐 Properties of Matter – Complete IIT-JEE Library

  1. Properties – Part 1
  2. Properties – Part 2
  3. Properties – Part 3
  4. Properties – Part 4
  5. Properties – Part 5
  6. Properties – Part 6
  7. Properties – Part 7
  8. Properties – Part 8
  9. Properties – Part 9
  10. Properties – Part 10
  11. Properties – Part 11
  12. Properties – Part 12
  13. Properties – Part 13
  14. Properties – Part 14
  15. Properties – Part 15
  16. Properties – Part 16
  17. Properties – Part 17
  18. Properties – Part 18
  19. Properties – Part 19
  20. Properties – Part 20
  21. Properties – Part 21
  22. Properties – Part 22
  23. Properties – Part 23
  24. Properties – Part 24
  25. Properties – Part 25

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