Verified Solution • 2025–26 Session moderate

QJEEM25Pha624: JEE Main 2025 Physics - Class 11 JEEM25Pha624 Solution: Given below are two statements. One is labelled as Assertion…

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas decreases.

Reason (R) : Free expansion of an ideal gas is an irreversible and an adiabatic process.

In the light of the above statements, choose the correct answer from the options given below :

Multiple Choice Options

  • A Both (A)(\mathbf{A}) and (R)(\mathbf{R}) are true and (R)(\mathbf{R}) is the correct explanation of (A)(\mathbf{A})
  • B Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
  • C (A) is false but (R) is true
  • D (A) is true but (R)(\mathbf{R}) is false

Step-by-Step Verified Solution

(A) T1 V1γ−1=T2 V2γ−1\mathrm{T}_1 \mathrm{~V}_1^{\gamma-1}=\mathrm{T}_2 \mathrm{~V}_2^{\gamma-1}

Temp increases

R) Free expansion is assumed fast, so Adiabatic

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