Physics-
General
Easy

Question

The ratio of ionization energy of Bohr’s hydrogen atom and Bohr’s hydrogen like lithium atom is

  1. 1 : 1    
  2. 1 : 3    
  3. 1 : 9    
  4. None of these    

The correct answer is: 1 : 9


    Energy of an electron in ground state of an atom (Bohr’s hydrogen like atom) is given as
    E equals negative 13.6 Z to the power of 2 end exponent e V (Z = atomic number of the atom)Þ Eionisation= 13.6 Z2
    Þ fraction numerator left parenthesis E subscript i o n end subscript right parenthesis subscript H end subscript over denominator left parenthesis E subscript i o n end subscript right parenthesis subscript L i end subscript end fraction equals open parentheses fraction numerator Z subscript H end subscript over denominator Z subscript L i end subscript end fraction close parentheses to the power of 2 end exponent equals open parentheses fraction numerator 1 over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 1 over denominator 9 end fraction

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