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A hydrogen-like neutral species in some excited state A , on absorbing a photon of energy 3 . 066 eV get excited to a new state B . When the electron from state B returns back, photons of a maximum ten different wavelengths can be observed in which some photons are of energy smaller than 3 . 066 eV , some are of equal energy and only four photons are having energy greater than 3 . 066 eV . The ionization energy of th

Options

  1. A14 . 6   eV
  2. B3 . 066   eV
  3. C6 . 132   eV
  4. D9 . 2   eV

Correct answer

A. 14 . 6   eV

Step-by-step solution

n n - 1 2 = 10     ⇒ n = 5 For the transition, n   =   5 to n   =   2 , photon should be of equal energy ⇒ k Z 2 1 2 2 - 1 5 2 = 3.066 eV ⇒ k Z 2 = 14.6   eV

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