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NTA Abhyas JEE Main2020ChemistryStructure of AtomPractice

An excited hydrogen atom returns to the ground state. The wavelength of emitted photo is λ . The principal quantum number of the excited state will be

Options

  1. Aλ R λ R - 1 1 / 2
  2. Bλ R + 1 λ R 1 / 2
  3. C[ λ R ( λ R + 1 ) ] 1 / 2
  4. D1 λ R ( λ R + 1 ) 1 / 2

Correct answer

A. λ R λ R - 1 1 / 2

Step-by-step solution

1 λ = R 1 n 1 2 - 1 n 2 2 = R 1 1 2 - 1 n 2 n = λ R λ R - 1 1 / 2

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