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NEST2023ChemistryStructure of Atom

Consider a hypothetical one-electron atom, where the nucleus and the electron interact with a force F=-k r . Here, r is the distance between the electron and the nucleus, and k is a constant. If this atom is studied using the Bohr model, the electron is assumed to move around the nucleus in selected stable orbits of fixed radii, characterized by quantum number n . The radius of the orbiting electron (of mass m_ e ) i

Options

  1. A( n^2 h^2 4 ^2 k m_ e )^ 1 / 4
  2. B( n^2 h^2 4 ^2 k m_ e )
  3. C( n^2 h^2 4 ^2 k m_ e )^ 1 / 3
  4. D( n^2 h^2 4 ^2 k m_ e )^ 1 / 2

Correct answer

A. ( n^2 h^2 4 ^2 k m_ e )^ 1 / 4

Step-by-step solution

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