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Q.

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 teh lengths of the gas column before and after expansion respectively, then T1/T2 is given by

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a

b

L1/L2

c

L2/L1

d

answer is D.

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Detailed Solution

γ = 5/3TVγ-1= K⇒Tα 1/vγ-1But V = AL; A is  constantVαL
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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 teh lengths of the gas column before and after expansion respectively, then T1/T2 is given by