Atoms & Nuclei

JEE Main level, single correct, medium

63 of 239

Question 63 of 239

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 :

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Answer: (B) KK decreases, PP and EE increase.

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