Physics-
General
Easy

Question

An electron in Bohr’s hydrogen atom has an energy of –3.4 eV. The angular momentum of the electron is

  1. h/pi    
  2. h/2pi    
  3. nh/2pi ( n is an integer)    
  4. 2h/pi    

The correct answer is: h/pi


    The energy of an electron in an orbit of principal quantum number n is given as
    E = fraction numerator negative 13.6 over denominator n to the power of 2 end exponent end fraction   e V
    Þ-3.4 eV = fraction numerator negative   13.6 over denominator n to the power of 2 end exponent end fraction   e V
    Þn2 = 4Þn = 2
    The angular momentum of an electron in nth orbit is given as
    L = fraction numerator n h over denominator 2 pi end fraction  , Putting n = 2
    We obtain L = fraction numerator 2 h over denominator 2 pi end fraction     equals   fraction numerator h over denominator pi end fraction

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