What is the energy of the electron revolving in third orbit expressed in eV ?

Question

What is the energy of the electron revolving in third orbit expressed in eV ? (A) 1.51 eV (B) 3.4 eV (C) 4.53 eV (D) 4 eV

Tardigrade Admin · Accepted Answer

The energy of electron in any orbit is given by E=(-2 π2 m e4 Z2 K2/n2 h2)=-(13.6/n2) eV E=-(13.6/(3)2)=-(13.6/9)=-1.51 eV (n=3 for 3 rd Bohr's orbit)

Q. What is the energy of the electron revolving in third orbit expressed in $e V$ ?

$1.51 e V$

$3.4 e V$

$4.53 e V$

$4 e V$

The energy of electron in any orbit is given by
$E = \frac{- 2 π ^{2} m e ^{4} Z ^{2} K ^{2}}{n ^{2} h ^{2}} = - \frac{13.6}{n ^{2}} e V$
$E = - \frac{13.6}{( 3 ) ^{2}} = - \frac{13.6}{9} = - 1.51 e V$
$(n = 3$ for 3 rd Bohr's orbit)

Q. What is the energy of the electron revolving in third orbit expressed in eV ?

1.51eV

3.4eV

4.53eV

4eV