Three samples of the same gas \( A, B \) and \( C(\gamma=3 / 2) \) have initially equal volume. ...

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Three samples of the same gas \( A, B \) and \( C(\gamma=3 / 2) \) have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for \( A \), isobaric for \( B \) and isothermal for \( C \). If the final pressure are equal for all three samples, the ratio of their initial pressures are :
(a) \( 2 \sqrt{2}: 2: 1 \)
(b) \( 2 \sqrt{2}: 1: 2 \)
(c) \( \sqrt{2}: 1: 2 \)
(d) \( 2: 1: \sqrt{2} \)
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