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 gas column before and after expansion respectively, T1/T2 then given by

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L1L223

L1L2

L2L1

L2L123

answer is D.

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Detailed Solution

For an adiabatic process T1V1γ-1=T2V2γ-1Where V1=AL1,V2=AL2 and γ=53Hence, T1T2=L2L123

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