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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2022 · 24 June · Evening Shift · Physics · Atomic Physics

In Bohr's atomic model of hydrogen, let K, P and E are the kinetic...

In Bohr's atomic model of hydrogen, let K,PK, P and EE 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 :

Options

  1. AAll K,PK, P and EE increase.
  2. BKK decreases, PP and EE increase.
  3. CPP decreases, KK and EE increase.
  4. DKK increases, PP and EE decrease

Correct answer

B. KK decreases, PP and EE increase.

Step-by-step solution

Total energy of electron is stated as E=−Z2me48(nhε0)2E = - \dfrac{{Z}^{2}m{e}^{4}}{8{\left(nh{ε}_{0}\right)}^{2}}, potential energy P=−Z2me44(nhε0)2P = - \dfrac{{Z}^{2}m{e}^{4}}{4{\left(nh{ε}_{0}\right)}^{2}} and kinetic energy is given by K=Z2me48(nhε0)2K = \dfrac{{Z}^{2}m{e}^{4}}{8{\left(nh{ε}_{0}\right)}^{2}}.

So, as electron makes transition to higher level, total energy and potential energy increases due to the negative sign while the kinetic energy of electron decreases.

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