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Olympiad workbookNSEPDual Nature of Matter

The force of attraction between the positively charged nucleus and the electron in a hydrogen atom is given by f=k e^2 r^2 . Assume that the nucleus is fixed. The electron, initially moving in an orbit of radius R₁ jumps into an orbit of smaller radius R₂ . The decrease in the total energy of the atom is

Options

  1. Ak e^2 2 ( 1 R₁ - 1 R₂ )
  2. Bk e^2 2 ( R₁ R₂^2 - R₂ R₁^2 )
  3. Ck e^2 2 ( 1 R₂ - 1 R₁ )
  4. Dk e^2 2 ( R₂ R₁^2 - R₁ R₂^2 )

Correct answer

C. k e^2 2 ( 1 R₂ - 1 R₁ )

Step-by-step solution

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