**Question:**

**Consider two containers A and B containing identical gases at the same pressure, volume, and temperature. The gas in container A is compressed to half of its volume isothermally while the gas in the container B is compressed to half of its original value adiabatically. The ratio of final pressure of a gas in B to that of gas in A is**

**(a) $2^{\gamma-1}$**

**(b) $\left(\frac{1}{2}\right)^{\gamma-1}$**

**(c) $\left(\frac{1}{1-\gamma}\right)^{2}$**

**(d) $\left(\frac{1}{\gamma-1}\right)^{2}$**

**Solution:**

The correct answer is (a)

$2^{\gamma-1}$