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NEET PHYSICSMedium

Thermodynamic processes are indicated in the following diagram. Match the following:

Column I P. Process I Q. Process II R. Process III S. Process IV

Column II a. Adiabatic b. Isobaric c. Isochoric d. Isothermal

A

Pa,Qc,Rd,SbP \rightarrow a, Q \rightarrow c, R \rightarrow d, S \rightarrow b

B

Pc,Qa,Rd,SbP \rightarrow c, Q \rightarrow a, R \rightarrow d, S \rightarrow b

C

Pc,Qd,Rb,SaP \rightarrow c, Q \rightarrow d, R \rightarrow b, S \rightarrow a

D

Pc,Qd,Ra,SbP \rightarrow c, Q \rightarrow d, R \rightarrow a, S \rightarrow b

Step-by-Step Solution

In a PP-VV indicator diagram:

  1. Process I is parallel to the PP-axis, meaning the volume is constant. Therefore, it is an isochoric process (PcP \rightarrow c).
  2. Process IV is parallel to the VV-axis, meaning the pressure is constant. Therefore, it is an isobaric process (SbS \rightarrow b).
  3. Processes II and III are curves representing expansion. The slope of an adiabatic curve (dp/dV=γP/Vdp/dV = -\gamma P/V) is γ\gamma times steeper than that of an isothermal curve (dp/dV=P/Vdp/dV = -P/V). Since curve II is steeper than curve III, Process II is adiabatic (QaQ \rightarrow a) and Process III is isothermal (RdR \rightarrow d).

Thus, the correct match is Pc,Qa,Rd,SbP \rightarrow c, Q \rightarrow a, R \rightarrow d, S \rightarrow b.

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