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NEET2022Physics-Thermodynamics

NEET 2022 Physics Adiabatic Processes MCQ Question

Type: MCQ-diagram based-Medium-Class 11

An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and 4 is:

Question diagram
A

3

B

4

C

1

D

2

Correct Answer

Option D

Detailed Explanation

Chapter: Thermodynamics

Class: 11 Physics Topic: P–V Diagram: Thermodynamic Processes Difficulty: 🟡 Moderate

✅ Ans: D — 2

From the same initial state:

  • 1 → Isochoric: Volume constant → vertical line.
  • 4 → Isobaric: Pressure constant → horizontal line.
  • 2 → Adiabatic: PVγ=constantPV^\gamma=\text{constant}
  • 3 → Isothermal: PV=constantPV=\text{constant}

For expansion from the same initial state:

Adiabatic curve falls faster than isothermal\text{Adiabatic curve falls faster than isothermal}

because

(dPdV)adiabatic=−γPV\left(\frac{dP}{dV}\right)_{\text{adiabatic}} =-\gamma\frac{P}{V}

and

(dPdV)isothermal=−PV\left(\frac{dP}{dV}\right)_{\text{isothermal}} =-\frac{P}{V}

Since γ>1\gamma>1, curve 2 is steeper and lies below curve 3.

🧠 NEET Trick

Expansion: Adiabatic → steeper → pressure falls faster. So 2 = Adiabatic.

Correct answer: D (2).

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