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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a
L1L223
b
L1L2
c
L2L1
d
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