MHT CET 2024 Physics question

PhysicsThermodynamicsMHT CET 2024

A monoatomic ideal gas, initially at temperature is enclosed in a cylinder fitted frictionless piston. The gas is allowed to expand adiabatically to a temperature by releasing he piston suddenly. And are the lengths of the gas columns before and after the expansion respectively. The ratio is

Answer: (A)

Solution

For a reversible adiabatic change of an ideal gas, . For a monoatomic gas , so . The cylinder has a constant cross-section, so . Hence and

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Question ID VK-098721