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KCET2010PhysicsAtomic Physics

v₁ is the frequency of the series limit of Lyman series, v₂ is the frequency of the first line of Lyman series and v₃ is the frequency of the series limit of the Balmer series. Then

Options

  1. Av₁-v₂=v₃
  2. Bv₁=v₂-v₃
  3. C1 v₂ = 1 v₁ + 1 v₃
  4. D1 v₁ = 1 v₂ + 1 v₃

Correct answer

A. v₁-v₂=v₃

Step-by-step solution

aligned Frequency, v &=R C [ 1 n₁² - 1 n₂² ] v₁ &=R C [1- 1 ]=R C v₂ &=R C [1- 1 4 ]= 3 4 R C v₃ &=R C [ 1 4 - 1 ]= R C 4 v₁-v₂=v₃ aligned

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