The kinetic energy of an electron in the H-atom in the second excited state is $k$ units. Its total energy and potential energy, respectively, in the ground state will be |
$-9k,-18k$ $-k, 2k$ $-4k, 16k$ $-k,2k$ |
$-9k,-18k$ |
The correct answer is Option (1) → $-9k,-18k$ Energy of electron in hydrogen atom: $E_n=-\frac{13.6}{n^2}\ \text{eV}$ Second excited state $\Rightarrow n=3$ Total energy: $E_3=-\frac{13.6}{9}=-\frac{13.6}{9}$ Kinetic energy: $K=-E_3=\frac{13.6}{9}=k$ Ground state $n=1$: Total energy: $E_1=-13.6\ \text{eV}=-9k$ Potential energy: $U=2E=-27.2\ \text{eV}=-18k$ |