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A monoatomic ideal gas, initially at tem...

A monoatomic ideal gas, initially at temperature `T_1,` is enclosed in a cylinder fitted with a friction less piston. The gas is allowed to expand adiabatically to a temperature `T_2` by releasing the piston suddenly. If `L_1 and L_2` are the length of the gas column before expansion respectively, then `(T_1)/(T_2)` is given by

A

`(L_1//L_2)^(2//3)`

B

`(L_1//L_2)`

C

`(L_2//L_1)`

D

`(L_2//L_1)^(2//3)`

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The correct Answer is:
D
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