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MHT CET202312 May 2023Morning ShiftPhysicsAtomic PhysicsActual

In Lyman series, series limit of wavelength is ₁ . The wavelength of first line of Lyman series is ₂ and in Balmer series, the series limit of wavelength is ₃ . Then the relation between ₁ , ₂ and ₃ is

Options

  1. A₁= ₂+ ₃
  2. B₂= ₁+ ₃
  3. C1 ₁ = 1 ₂ - 1 ₃
  4. D1 ₁ - 1 ₂ = 1 ₃

Correct answer

D. 1 ₁ - 1 ₂ = 1 ₃

Step-by-step solution

According to Rydberg's formula, 1 =R ( 1 n ^2 - 1 ~m ^2 ) For series limit of Lyman series, n =1, ~m = , = ₁ 1 ₁ = R For 1^ st line of Lyman series, n =1, ~m =2, = ₂ 1 ₂ = 3 R 4 For series limit of Balmer series, array ll & n =2, ~m = , = ₃ & 1 ₃ = R 4 & Now, 1 ₁ - 1 ₂ = R - 3 R 4 = R 4 & 1 ₁ - 1 ₂ = 1 ₃ array

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