🔥 Thermodynamics – Objective Questions

Set 4 : Extreme JEE Advanced / Olympiad Level

⚠️ Very High Difficulty
✔ Conceptual + Mathematical Traps
✔ Second Law & Entropy Dominant

Q3️⃣1️⃣

An engine operates between temperatures T₁ and T₂ (T₁ > T₂). If its efficiency is η, which condition must be satisfied?
  • A) η ≤ 1 − T₂/T₁
  • B) η = 1 − T₂/T₁ for all engines
  • C) η depends on working substance
  • D) η > Carnot efficiency possible
✔ Correct: A

Q3️⃣2️⃣

In a cyclic process shown on a PV diagram, the area enclosed represents:
  • A) Heat absorbed
  • B) Internal energy change
  • C) Net work done
  • D) Entropy change
✔ Correct: C

Q3️⃣3️⃣

A gas undergoes a process in which temperature remains constant but entropy increases. The process is:
  • A) Reversible isothermal
  • B) Irreversible isothermal
  • C) Reversible adiabatic
  • D) Free expansion
✔ Correct: B, D

Q3️⃣4️⃣

For a reversible process:
  • A) Entropy of universe increases
  • B) Entropy of universe decreases
  • C) Entropy of universe remains constant
  • D) Process must be slow
✔ Correct: C, D

Q3️⃣5️⃣

An ideal gas undergoes free expansion in vacuum. Which is true?
  • A) ΔU = 0
  • B) ΔT = 0
  • C) ΔS > 0
  • D) Work done is maximum
✔ Correct: A, B, C

Q3️⃣6️⃣

Two Carnot engines A and B operate between the same temperature limits. Which statement is correct?
  • A) Efficiency of A > B
  • B) Efficiency of B > A
  • C) Both have same efficiency
  • D) Efficiency depends on working gas
✔ Correct: C

Q3️⃣7️⃣

Entropy change of universe is minimum for:
  • A) Reversible process
  • B) Irreversible process
  • C) Free expansion
  • D) Spontaneous process
✔ Correct: A

Q3️⃣8️⃣

Which of the following violates the second law of thermodynamics?
  • A) Refrigerator working without input work
  • B) Heat engine with 100% efficiency
  • C) Heat flowing from cold to hot spontaneously
  • D) Carnot engine
✔ Correct: A, B, C

Q3️⃣9️⃣

For an adiabatic irreversible process:
  • A) ΔQ = 0
  • B) ΔS > 0
  • C) ΔU = −W
  • D) Process is isentropic
✔ Correct: A, B, C

Q4️⃣0️⃣

A system returns to its initial state after a cycle. Then:
  • A) Net heat absorbed = net work done
  • B) Change in internal energy = 0
  • C) Entropy of system = 0
  • D) Entropy of universe = 0
✔ Correct: A, B

✅ Objective Set – Page 4 Completed
➡ Next: Page 5 – Mixed Numerical + Assertion–Reason (JEE Advanced)

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