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AP EAMCET202022 Sep 2020Evening ShiftChemistryStructure of AtomActual

Calculate the energy associated with the second orbit of Li ⁺ and find it's radius?

Options

  1. A4.905 10⁻¹⁹ ~J , 0.0705 ~nm
  2. B4.905 10⁻²⁰ ~J , 0.0705 Å
  3. C4.905 10⁻¹⁷ ~J , 0.0705 Å
  4. D4.905 10⁻¹⁸ ~J , 0.0705 ~nm

Correct answer

D. 4.905 10⁻¹⁸ ~J , 0.0705 ~nm

Step-by-step solution

Energy associated with second Bohr's orbit is aligned E & =-13.6 Z ^2 / n^2 E & =-13.6 3^2 / 2^2 E & =-30.6 eV & =-30.6 1.6 10⁻¹⁹ & =4.905 10⁻¹⁸ ~J aligned Radius of second Bohr's orbit in Li ⁺ is given by aligned R & =0.529 n^2 / Z R & =0.529 2^2 / 3 R & =0.7053 Å=0.0705 ~nm aligned Hence, the correct option is (4).

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