# 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 the gas column before and after expansion respectively, then T1/T2 is given by Option 1) (L1/L2) ^(2/3) Option 2) L1/L2 Option 3) L2/L1 Option 4) (L2/L1) ^(2/3)

As we discussed in concept

Equation of state -

- wherein

On solving

Option 1)

(L1/L2) ^(2/3)

This option is incorrect.

Option 2)

L1/L2

This option is incorrect.

Option 3)

L2/L1

This option is incorrect.

Option 4)

(L2/L1) ^(2/3)

This option is correct.

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