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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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