Which level of the


Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

  1. 1

  2. 6

  3. 4

  4. 8

Correct Option: , 2


Energy of H-atom is $\mathrm{E}=-13.6 \mathrm{Z}^{2} / \mathrm{n}^{2}$

for $H$-atom $Z=1$ \& for ground state, $n=1$

$\Rightarrow \mathrm{E}=-13.6 \times \frac{1^{2}}{1^{2}}=-13.6 \mathrm{eV}$

Now for carbon atom (single ionised), $Z=6$

$E=-13.6 \frac{Z^{2}}{n^{2}}=-13.6$

$\Rightarrow n^{2}=6^{2} \Rightarrow n=6$

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