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BITSAT2024ChemistryStructure of AtomActual

The energy of second orbit of hydrogen atom is -5.45 10⁻¹⁹ ~J . What is the energy of first orbit of Li ²⁺ ion (in J ) ?

Options

  1. A-1.962 10⁻¹⁸
  2. B-1.962 10⁻¹⁷
  3. C-3.924 10⁻¹⁷
  4. D-3.924 10⁻¹⁸

Correct answer

B. -1.962 10⁻¹⁷

Step-by-step solution

E_n=-13.6 [ z^2 n^2 ] e V E₁=-13.6 [ 3^2 1^2 ] eV =-122.4 eV =-122.4 1.602 10⁻¹⁹ ~J =-1.962 10⁻¹⁷ ~J

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