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ExamsJEE MainChemistry

What is the frequency of the limiting line in the Balmer series? (Take the Rydberg constant, R = 3.29 × 10¹⁵ cycles/s)

  1. 8.22 × 10¹⁴ s⁻¹
  2. 3.29 × 10¹⁵ s⁻¹
  3. 3.65 × 10¹⁴ s⁻¹
  4. 5.26 × 10¹³ s⁻¹

Correct answer: 8.22 × 10¹⁴ s⁻¹

Solution

The series limit of the Balmer series is the n=inf -> 2 transition: nu = R(1/2^2) = 3.29e15/4 = 8.22e14 s^-1. The stored 3.29e15 is the full R, not R/4.

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