A monatomic ideal gas, initially at temperature T1, is enclosed in a cylinder fitted with a frictionless position. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If L1 and L2 are the length of the gas column before and after expansion respectively, then T1/T2 is given by
1
\(\left(\frac{L_1}{L_2}\right)^{2 / 3}\)
2
\(\frac{L_1}{L_2}\)
3
\(\frac{L_2}{L_1}\)
4
\(\left(\frac{L_2}{L_1}\right)^{2 / 3}\)