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MHT CET · Physics · Atomic Physics

The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) third to \(2^{\text {nd }}\) energy level and (ii) highest energy level to \(3^{\text {rd }}\) level is

  1. A 3:2
  2. B 5:4
  3. C 5:3
  4. D 8:3
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Answer & Solution

Correct Answer

(B) 5:4

Step-by-step Solution

Detailed explanation

\(E_1 = k \left( \frac{1}{2^2} - \frac{1}{3^2} \right) = k \left( \frac{1}{4} - \frac{1}{9} \right) = k \left( \frac{5}{36} \right)\) \(E_2 = k \left( \frac{1}{3^2} - \frac{1}{\infty^2} \right) = k \left( \frac{1}{9} \right)\)
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