A single electron orbits around a stationary nucleus of charge +ze, where z is a constant and e is the magnitude of electronic charge. It requires 47.2 eV to excite the electron from the second Bohr orbit to the third Bohr orbit The energy required to excite the electron from the third to the fourth orbit

Question

A single electron orbits around a stationary nucleus of charge +ze, where z is a constant and e is the magnitude of electronic charge. It requires 47.2 eV to excite the electron from the second Bohr orbit to the third Bohr orbit The energy required to excite the electron from the third to the fourth orbit (A) 13.6 eV (B) 16.53 eV (C) 47.2 eV (D) 27.2 eV

Tardigrade Admin · Accepted Answer

E 4- E 3=13.6 z 2[(1/9)-(1/16)] =13.6 × 25 × (7/9 × 16)=16.53 eV

13.6 eV

16.53 eV

47.2 eV

27.2 eV

E4​−E3​=13.6z2[91​−161​] =13.6×25×9×167​=16.53eV

$E_{4} - E_{3} = 13.6 z^{2} [\frac{1}{9} - \frac{1}{16}]$
$= 13.6 \times 25 \times \frac{7}{9 \times 16} = 16.53 e V$