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AP EAMCET · PHYSICS · Atomic Physics

The difference between the frequencies of the first and second Lyman lines of hydrogen atom is
(R - Rydberg constant and c - speed of light in vacuum)

  1. A \(\frac{9 \mathrm{Rc}}{28}\)
  2. B \(\frac{7 \mathrm{Rc}}{12}\)
  3. C \(\frac{3 R c}{8}\)
  4. D \(\frac{5 \mathrm{Rc}}{36}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{5 \mathrm{Rc}}{36}\)

Step-by-step Solution

Detailed explanation

\( \nu = Rc \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \) \( \nu_1 = Rc \left( \frac{1}{1^2} - \frac{1}{2^2} \right) = Rc \left( 1 - \frac{1}{4} \right) = \frac{3Rc}{4} \)…