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CUET · PHYSICS · PYQ PAPER 2025

The atomic hydrogen emits a line spectrum consisting of different series. The ratio of frequencies of the first line in Lyman and Balmer series is :

  1. A 3 : 5
  2. B 9 : 5
  3. C 27 : 5
  4. D 5 : 27
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Answer & Solution

Correct Answer

(C) 27 : 5

Step-by-step Solution

Detailed explanation

\( \nu = R c \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \) Lyman series (first line): \( n_1=1, n_2=2 \) \( \nu_L = R c \left( \frac{1}{1^2} - \frac{1}{2^2} \right) = R c \left( 1 - \frac{1}{4} \right) = R c \left( \frac{3}{4} \right) \) Balmer series (first line):…
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