Medium MCQ +4 / -1 PYQ · JEE Mains 2022

In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :

  1. A All K, P and E increase.
  2. B K decreases, P and E increase. Correct answer
  3. C P decreases, K and E increase.
  4. D K increases, P and E decrease.

Solution

<p>$T.E. = {{ - {Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$</p> <p>$P.E. = {{ - {Z^2}m{e^4}} \over {4{{\left( {nh{\varepsilon _0}} \right)}^2}}}$</p> <p>$K.E. = {{{Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$</p> <p>As electron makes transition to higher level, total energy and potential energy increases (due to negative sign) while the kinetic energy reduces.</p>

About this question

Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom

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