MHT CET 2023 Physics question
A monoatomic ideal gas initially at temperature 'T₁' is enclosed in a cylinder fitted with massless, frictionless piston. By releasing the piston suddenly the gas is allowed to expand adiabatically to a temperature 'T₂'. If 'L₁' and 'L₂' are the lengths of the gas columns before and after expansion respectively, then is
Answer: (C)
Solution
For a reversible adiabatic process . For a monoatomic gas , so . The volume is proportional to the length of the gas column ( for the same cross section). Hence
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