5. 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 expansion respectively, then T1/T2 is given by
(a) ( L1/L2)2/3 (b) L1/L2
(c) L2 /L1 (d) ( L2 /L1 )2/3
Ans. d
(19)