Q 11-11-073JEE MainJEE Main 2024 (9 Apr, Shift 1)Easy
The volume of an ideal gas ($\gamma = 1.5$) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:
Answer: (C) $\dfrac{8}{5\sqrt5}$
$PV^\gamma$ is constant:
$$\frac{P_1}{P_2} = \left(\frac{V_2}{V_1}\right)^{1.5} = \left(\frac45\right)^{3/2} = \frac{8}{5\sqrt5}$$
Solution by Sreeraj P, M.Sc Physics