First and second excitation potentials of hyd | vedclass

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Question

(A) The excitation potential is the energy required to excite an electron from the ground state $(n=1)$ to a higher energy level. For a hydrogen atom,

Vedclass · Accepted Answer

$10.2, 12.1$

Vedclass · Answer

(A) The excitation potential is the energy required to excite an electron from the ground state $(n=1)$ to a higher energy level. For a hydrogen atom,the energy of the $n^{th}$ level is given by $E_n = -13.6 / n^2 \ eV$. For the first excitation potential,the transition is from $n=1$ to $n=2$: $\Delta E_1 = E_2 - E_1 = -3.4 - (-13.6) = 10.2 \ eV$. For the second excitation potential,the transition is from $n=1$ to $n=3$: $\Delta E_2 = E_3 - E_1 = -1.51 - (-13.6) = 12.09 \ eV \approx 12.1 \ eV$. Thus,the values are $10.2 \ eV$ and $12.1 \ eV$.

First and second excitation potentials of hydrogen atom (in $eV$) would be respectively

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