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The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true

Option: 1

Its kinetic energy increases and its potential and total energies decrease


Option: 2

Its kinetic energy decreases, potential energy increases and its total energy remains the same


Option: 3

Its kinetic and total energies decrease and its potential energy increases


Option: 4

Its kinetic, potential and total energies decreases


Answers (1)

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\mathrm{\text{For hydrogen and hydrogen like atoms }E_n=-13.6 \frac{z^2}{n^2} \mathrm{eV}}
\mathrm{U_n=2 E_n=-27.2 \frac{z^2}{n^2} \mathrm{eV}\: and\: K_n=\left|E_n\right|=13.6 \frac{z^2}{n^2} \mathrm{eV}}
From these three relations we can see that as \mathrm{n} decreases,\mathrm{K_n} will increase but \mathrm{E_n} and \mathrm{U_n} will decreases.

 

 

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