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JEE Main20206 Sep 2020Evening ShiftPhysicsKinetic Theory of GasesActual

Assuming the nitrogen molecule is moving with r . m . s . velocity at 400 K , the de-Broglie wave length of nitrogen molecule is close to : (Given : nitrogen molecule weight : 4 .64 × 10 − 26   kg , Boltzman constant : 1 .38 × 10 − 23   J K - 1 , Planck constant : 6 .63 × 10 − 34   J s )

Options

  1. A0 . 24   A ∘
  2. B0 . 20   A ∘
  3. C0 . 34   A ∘
  4. D0 . 44   A ∘

Correct answer

A. 0 . 24   A ∘

Step-by-step solution

λ = h 2 mk = h m × 3 2 kT = h 3 mkT = 6 . 63 × 10 - 34 3 × 4 . 64 × 10 - 26 × 1 . 38 × 10 - 13 × 400 = 0 . 24   A °

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