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AP EAMCET · PHYSICS · Atomic Physics

The ratio of energies of photons produced due to transition of an electron in hydrogen atom from second energy level to first energy level and fifth energy level to second energy level is

  1. A \(2: 1\)
  2. B \(1: 4\)
  3. C \(3: 2\)
  4. D \(25: 7\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(25: 7\)

Step-by-step Solution

Detailed explanation

\(E_1 \propto \left(\frac{1}{1^2} - \frac{1}{2^2}\right) = \frac{3}{4}\) \(E_2 \propto \left(\frac{1}{2^2} - \frac{1}{5^2}\right) = \left(\frac{1}{4} - \frac{1}{25}\right) = \frac{21}{100}\)…