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MHT CET 2022 Physics question

PhysicsThermodynamicsMHT CET 2022

A monoatomic ideal gas, initially at temperature is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature by releasing the piston suddenly. If and are the length of the gas column before and after expansion respectively then is given by

Answer: (B)

Solution

For an adiabatic process of an ideal gas . For a monatomic gas , so . The volume is (area constant), hence and

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Question ID VK-093938