Question

In a set of experiments on a hypothetical one-electron atom, the wavelengths of the photons emitted from transitions ending in the ground state $(n=1)$ are shown in the energy diagram above. The possible energy of the atom in $n=3$ cannot be

• A. $-1.95eV$
• B. $-0.4875eV$
• C. $-0.121eV$
• D. $-7.8eV$

Answer 1

The correct option is A $-1.95eV$

We have calculated, $R{Z}^2=17.52$ eV

Energy of $n=3$ state, $E=-\frac{R{Z}^2}{n^2}=-\frac{17.52}{9}=-1.95$ eV