Question

Given that in the H-atom the transition energy for $n=1$ to $n=2$, Rydberg states in 10.2 eV. The energy for the same transition in $B{e}^{3+}$ is:

• A. 20.4 eV
• B. 163.2 eV
• C. 30.6 eV
• D. 40.8 eV

Answer 1

The correct option is B 163.2 eV

For hydrogen like species like $B{e}^{3+}$, $E_n=Z^2{E}_n$ for hydrogen atom.
$E_n=4^2\times 10.2=16\times 10.2=163.2eV$