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NEET 2011 (AIPMT, Mains) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from NEET 2011 (AIPMT, Mains)

Q71NEET 2011 · AIPMT · MAINSMedium

Transitions, Photon Emission & Excitation

Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr's atomic model?

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Answer: (c)

  1. En=−13.6n2E_n = -\frac{13.6}{n^2} eV: E1=−13.6E_1 = -13.6, E2=−3.4E_2 = -3.4, E3=−1.51E_3 = -1.51, E4=−0.85E_4 = -0.85 eV.
  2. 4→34\to3: 0.660.66 eV; 3→23\to2: 1.891.89 eV; ∞→1\infty\to1: 13.613.6 eV.
  3. Lines ending on n=1n=1 have E≥10.2E \ge 10.2 eV (2→12\to1) and the next is 12.0912.09 eV (3→13\to1); nothing gives 11.111.1 eV.
  4. So the answer is (c) 11.111.1 eV.
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