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CUET · PHYSICS · PYQ PAPER 2023

What is the ratio of the frequencies of the long wavelength limits of Lyman and Balmer series of hydrogen spectrum ?

  1. A \(27: 5\)
  2. B \(4: 1\)
  3. C \(5:27\)
  4. D \(1: 4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(27: 5\)

Step-by-step Solution

Detailed explanation

\(\nu = cR\left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right)\) \(\nu_L = cR\left(\frac{1}{1^2} - \frac{1}{2^2}\right) = cR\left(\frac{3}{4}\right)\) \(\nu_B = cR\left(\frac{1}{2^2} - \frac{1}{3^2}\right) = cR\left(\frac{5}{36}\right)\)…
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