A monoatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If l1 and l2 are the lengths of the gas column, before and after the expansion respectively, then the value of \(\frac{T_1}{T_2}\) will be:
(1) \(\left(\frac{l_1}{l_2}\right)^{\frac{2}{3}}\)
(2) \(\left(\frac{l_2}{l_1}\right)^{\frac{2}{3}}\)
(3) \(\frac{l_2}{l_1}\)
(4) \(\frac{l_1}{l_2}\)
