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NEET2016PhysicsAtomic PhysicsActual

If an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength λ . When it jumps from the fourth orbit to the third orbit, the corresponding wavelength of the photon will be

Options

  1. A16 25 λ
  2. B9 16 λ
  3. C20 7 λ
  4. D20 13 λ

Correct answer

C. 20 7 λ

Step-by-step solution

1 λ = R 1 n 1 2 - 1 n 2 2 ⇒ λ = 1 R 1 2 2 - 1 3 2 ⇒ λ ′ = 1 R 1 3 2 - 1 4 2 ⇒ λ ′ λ = 1 2 2 - 1 3 2 1 3 2 - 1 4 2 ⇒ λ ′ = 20 7 λ .

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