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AP EAMCET · PHYSICS · Atomic Physics

The ratio of the time periods of the revolution of the electrons in the second and third excited states of hydrogen atom is

  1. A \(9: 16\)
  2. B \(27: 64\)
  3. C \(4: 9\)
  4. D \(8: 27\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(27: 64\)

Step-by-step Solution

Detailed explanation

\(T \propto n^3\) \(n_1 = 3\) (second excited state) \(n_2 = 4\) (third excited state) \(\frac{T_2}{T_3} = \frac{n_1^3}{n_2^3} = \frac{3^3}{4^3} = \frac{27}{64}\)