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Question

Chemistry Question on Structure of atom

The energy of an electron in the nthnth Bohr orbit of H - atom is

A

13.6n2eV\frac{-13.6}{ n ^{2}} eV

B

13.6neV\frac{-13.6}{ n } eV

C

13.6n4eV\frac{-13.6}{ n ^{4}} eV

D

13.6n3eV\frac{-13.6}{n^{3}} e V

Answer

13.6n2eV\frac{-13.6}{ n ^{2}} eV

Explanation

Solution

En=13.6Z2n2eV\because\, E_{n}=-13.6 \frac{Z^{2}}{n^{2}} \,eV and for hydrogen (Z=1)(Z=1)

Therefore, En=13.6n2eVE_{n}=-\frac{13.6}{n^{2}} \,eV