STANDARDPhysics-Thermodynamics

STANDARD Physics Gas Laws MCQ Question

Type: MCQ-conceptual-Hard-Class 11

Three samples of the same gas A, B and C(γ = 3/2) have equal volume initially. Now, the volume of each sample is doubled. For A, the process is adiabatic; for B, it is isobaric and for C, the process is isothermal. If the final pressure are equal for all the three samples, the ratio of their initial pressures is

A

2:1:√2

B

2√2:1:√2

C

√2:1:2

D

√2:2:1

Correct Answer

Option B

Detailed Explanation

Let PA,PB,PCP_A, P_B, P_C be the initial pressures of the three samples. Using the relations for adiabatic, isobaric, and isothermal processes, we find the ratio 22:1:22√2:1:√2 ensures equal final pressures.

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