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KVPY2019PhysicsAtomic Physics

We consider the Thomson model of the hydrogen atom in which the proton charge is distributed uniformly over a spherical volume of radius 0 . 25   A o . Applying the Bohr condition in this model, the ground state energy (in eV ) of the electron will be close to

Options

  1. A- 136 / 4
  2. B- 13 . 6
  3. C- 13 . 6 / 2
  4. D- 2 × 13 . 6

Correct answer

B. - 13 . 6

Step-by-step solution

As per the condition given in question, we have following picture of atom, As a spherical charge distribution acts like a point charge concentrated at centre, above model is equivalent to Bohr's model. Hence, we expert same energy value of electron as that of Bohr's atom. ∴ Ground state energy of electron = - 13 . 6 eV . Note Question is incorrect as Thomson's model does not have any ground state configuration. Thomson's model of H -atom is as shown below; Now, if we calculate energy is above case, we get U = V cen

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