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AP EAMCET201921 Apr 2019Morning ShiftChemistryStructure of AtomActual

The energies of an electron in first orbit of He ⁺ and in third orbit of Li ²⁺ in J are respectively

Options

  1. A-8.72 10⁻¹⁸,-2.18 10⁻¹⁸
  2. B-8.72 10⁻¹⁸,-1.96 10⁻¹⁷
  3. C-1.96 10⁻¹⁷,-2.18 10⁻¹⁸
  4. D-8.72 10⁻¹⁷,-1.96 10⁻¹⁷

Correct answer

A. -8.72 10⁻¹⁸,-2.18 10⁻¹⁸

Step-by-step solution

Key Idea Use relation: E_n=-2.18 10⁻¹⁸ Z^2 n^2 ~J / ion where, E_n= energy of an electron in n th orbit Z= atomic number, n= orbit number For helium ion ( He ⁺ ) aligned Z & =2, n=1 E_n & =-2.18 10⁻¹⁸ 2^2 1^2 & =-8.72 10⁻¹⁸ ~J aligned For lithium ion ( Li ²⁺ ) aligned Z & =3, n=3 E_n & =-2.18 10⁻¹⁸ 3^2 3^2 & =-2.18 10⁻¹⁸ ~J aligned Hence, option (a) is the correct answer.

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