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Given the value of Rydberg constant is 10 7   m - 1 , the wave number of the last line of the Balmer series in hydrogen spectrum will be:

Options

  1. A0.025 × 10 4 m - 1
  2. B0.5 × 10 7 m - 1
  3. C0.25 × 10 7 m - 1
  4. D2.5 × 10 7 m - 1

Correct answer

C. 0.25 × 10 7 m - 1

Step-by-step solution

1 λ = R ( 1 n 1 2 − 1 n 2 2 ) Here, [ n 1 = 2 ,   n 2 = ∞ ] Wavelength = 1 λ = R 1 2 2 = R 4 = 10 7 4 = 0.25 × 10 7   m - 1

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