Atoms And Nuclei Question 446

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

Options:

A) Its kinetic energy increases and its potential and total energies decrease

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

C) Its kinetic and total energies decrease and its potential energy increases

D) Its kinetic, potential and total energies decreases

Show Answer

Answer:

Correct Answer: A

Solution:

  • For hydrogen and hydrogen like atoms $

    $ E_{n}=-13.6\frac{z^{2}}{n^{2}}eV $ $ U_{n}=2E_{n}=-27.2\frac{z^{2}}{n^{2}}eV $

    and $ K_{n}=| E_{n} |=13.6\frac{z^{2}}{n^{2}}eV $ From these three relations we can see that as n decreases, Kn will increase but En and Un will decreases.



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