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Consider two containers \( A \) and \( B \) containing identical gases at the same pressure, volume and temperature. The
\( \mathrm{P} \) gas in container \( A \) is compressed to half of its original volume isothermally while the gas in container \( B \) is
W compressed to half of its original value adiabatically. The ratio of final pressure of gas in \( B \) to that of gas in \( A \) is
[NCERT Exemplar]
(a) \( 2^{\gamma-1} \)
(b) \( \left(\frac{1}{2}\right)^{\gamma-1} \)
(c) \( \left(\frac{1}{1-\gamma}\right)^{2} \)
(d) \( \left(\frac{1}{\gamma-1}\right)^{2} \)
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