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JEE Main202125 Jul 2021Morning ShiftPhysicsThermodynamicsActual

A monoatomic ideal gas, initially at temperature T 1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T 2 by releasing the piston suddenly. If l 1 and l 2 are the lengths of the gas column, before and after the expansion respectively, then the value of T 1 T 2 will be:

Options

  1. Al 1 l 2 2 3
  2. Bl 2 l 1 2 3
  3. Cl 2 l 1
  4. Dl 1 l 2

Correct answer

B. l 2 l 1 2 3

Step-by-step solution

P V r = constant T V r - 1 = constant T ( ℓ ) 5 3 - 1 = constant T 1   T 2 = ℓ 2 ℓ 1 2 / 3

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