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MHT CET20226 Aug 2022Evening ShiftPhysicsThermodynamicsActual

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

Options

  1. A( L₁ L₂ )
  2. B( L₂ L₁ )^ 2 / 3
  3. C( L₁ L₂ )^ 2 / 3
  4. D( L₂ L₁ )

Correct answer

B. ( L₂ L₁ )^ 2 / 3

Step-by-step solution

For adiabatic process: aligned & T V Y-1= constant & T₁ V₂-1=T₂ V₂^ -1 & T₁ T₂ = ( A A L₂ L₁ )^ 5 3 -1 & T₁ T₂ = ( L₂ L₁ )^ 2 3 aligned

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