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CUET · PHYSICS · PYQ PAPER 2023

If \( \lambda_1 \) and \( \lambda_2 \) are the longest wavelengths of the Lyman and Paschen series respectively, then \( \lambda_1 : \lambda_2 \) is:

  1. A 1 : 30
  2. B 1 : 3
  3. C 7 : 108
  4. D 7 : 50
Verified Solution

Answer & Solution

Correct Answer

(C) 7 : 108

Step-by-step Solution

Detailed explanation

\( \frac{1}{\lambda_1} = R \left( \frac{1}{1^2} - \frac{1}{2^2} \right) = R \left( 1 - \frac{1}{4} \right) = \frac{3R}{4} \) \( \lambda_1 = \frac{4}{3R} \)…