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MHT CET2017PhysicsAtomic Physics

The frequency for a series limit of Balmer and Paschen series respectively are f 1 and f 3 . If the frequency of the first line of Balmer series is f 2 then the relation between f 1 , f 2 and f 3 is

Options

  1. Af 1 - f 2 = f 3
  2. Bf 1 + f 3 = f 2
  3. Cf 1 + f 2 = f 3
  4. Df 2 - f 3 = 2 f 1

Correct answer

A. f 1 - f 2 = f 3

Step-by-step solution

v = f λ , 1 λ = f v 1 λ = R 1 P 2 - 1 n 2 f = R c 1 P 2 - 1 n 2 f 2 = R c 1 2 2 - 1 3 2 = R c 1 4 - 1 9 f 1 = R c 1 2 2 = R c 4 f 3 = R c 1 3 2 = R c 9 ∴ f 1 - f 3 = R c 1 4 - 1 9 ∴ f 1 - f 3 = f 2 ∴ f 1 - f 2 = f 3

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