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AP EAMCET2003ChemistryStructure of Atom

If the electron of a hydrogen atom is present in the first orbit, the total energy of the electron is

Options

  1. A-e^2 r
  2. B-e^2 r^2
  3. C-e^2 2 r
  4. D-e^2 2 r^2

Correct answer

C. -e^2 2 r

Step-by-step solution

Kinetic energy = 1 2 m v^2 Potential energy = -e^2 r But m v^2= e^2 r KE = 1 2 e^2 r Total energy = KE + PE = 1 2 e^2 r - e^2 r = e^2 r ( 1 2 -1 )= -e^2 2 r

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