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In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number n - 1 . If n >> 1 , the frequency of radiation emitted is proportional to :

Options

  1. A1 n 3 / 2
  2. B1 n 3
  3. C1 n
  4. D1 n 2

Correct answer

B. 1 n 3

Step-by-step solution

Δ E = h ν ν = Δ E h = k 1 n - 1 2 - 1 n 2 = k 2 n n 2 n - 1 2 ≈ 2 k n 3 ∝ 1 n 3

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