The energy of the ground state and the first excited state of this system will be 0.014 eV and 0.059 eV, respectively.
When a subatomic particles system or particle is bound, it can only take on discrete energy values known as energy levels.
The energy level for the nth orbit is found as;
[tex]\rm E_n= \frac{n^2 \pi^2 h^2}{2m_ea^2}\\\\\ E_n=n^2(\frac{\pi^2 (197 \ Mev)^2}{2 \times 0.511 \ Mev \times 5 \ nm} )\\\\ E_n= n^2 (0.014 \ eV)[/tex]
For ground state,n=1,
E_1 =0.014 eV
For first excited state,n=2,
E₂=4 ×0.014
E₂=0.059 eV
Hence,the energy of the ground state and the first excited state of this system will be 0.014 eV and 0.059 eV, respectively.
To learn more about the energy level, refer:
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