MHT CET 2022 Physics question

PhysicsThermodynamicsMHT CET 2022

A monoatomic ideal gas, initially at temperature 'T', is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature 'T' by releasing the piston suddenly. L and L are the lengths of the gas columns before and after the expansion respectively. Then is

Answer: (A)

Solution

For an adiabatic process of an ideal gas, constant. For a monoatomic gas , so . The volume is proportional to the column length (), so . Hence $ =

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Question ID VK-094384