In a set of experiments on a hypothetical accelertron atom, the wavelengths of the photons emitted f

Question

In a set of experiments on a hypothetical accelertron atom, the wavelengths of the photons emitted from transitions ending in the ground state ( $n=1$ ) are shown in the energy level diagram figure. \ $ \begin{aligned} & \lambda_{5 ightarrow 1}=73.83 \mathrm{~nm} \ & \lambda_{4 ightarrow 1}=75.63 \mathrm{~nm} \ & \lambda_{3 ightarrow 1}=79.76 \mathrm{~nm} \ & \lambda_{2 ightarrow 1}=94.54 \mathrm{~nm} \end{aligned} $ \ The possible energy of the atom in $n=3$ cannot be

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(d): The possible energy of the atom in $n=3$, \ $ E_{03}=\frac{E_3}{Z^2} $ \ For $Z=1, E_{03}=-1.95 \mathrm{eV}$ \ $ \begin{aligned} & Z=2, E_{03}=-0.4875 \mathrm{eV} \ & Z=3, E_{03}=-0.2166 \mathrm{eV} \ & Z=4, E_{03}=-0.121 \mathrm{eV} \end{aligned} $