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What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with n = 4 to an energy level with n = 2? [Given: Rydberg constant = 1 912 A o ]

Options

  1. A185 .2   nm
  2. B285 .2   nm
  3. C385 .2   nm
  4. D486 .4 nm

Correct answer

D. 486 .4 nm

Step-by-step solution

1 λ = R H Z 2 1 n 1 2 − 1 n 2 2 = 1 λ = R H × 1 2 1 2 2 − 1 4 2 ⇒ 1 λ   =   1 912   ×   3 16 ⇒ λ = 4864 A o ∴ λ = 486.4 nm

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