Answer
$7$
Work Step by Step
We know that
$E_3=-(13.6eV)/(3^2)=-1.51eV$
$E_n=E_3+\Delta E=-1.51+1.23=-0.281eV$
$E_n=-\frac{13.6}{n^2}$
This can be rearranged as:
$n=\sqrt{\frac{-13.6}{E_n}}$
$n=\sqrt{\frac{-13.6eV}{-0.281eV}}$
$n=7$
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