# To which orbit the electron in H-atom will jump on absorbing 12.1 eV energy?

10.7k views

closed

To which orbit the electron in H-atom will jump on absorbing 12.1 eV energy?

+1 vote
by (45.9k points)
selected by

According to Bohr's theory, Energy of electron in nth orbital of H-atom with Atomic number (Z) = $-13.6\frac{2^2}{n^2}$eV

$\therefore$ The energy of ground state electron in H-atom = -13.6 eV

Now, it absorbs 12.1 eV energy.

So, its energy increase to -13.6 + 12.1 = - 0.85 eV

$\therefore$ E = -13.6$\frac{z^2}{n^2}$eV

-0.85 = -13.6 x $\frac{(1)^2}{n^2}$ ($\because$ for hydrogen Z = 1)

$\therefore$ n2 $\frac{13.6}{0.85}$ = 16

$\therefore$ n = 4

Hence, the electron in H-atom jumps to 4th orbit on absorbing 12.1 eV energy.