The separation between adjacent energy levels of a normal multiplet is in the ratio \(3:5\). According to the Lande interval rule, what is the value of \(L\)?
Show Hint
The Lande interval rule determines energy level separations in multiplets.
The Lande interval rule states that the energy separation between adjacent levels in a multiplet follows the ratio:
\[
\Delta E \propto J(J+1) - J'(J' + 1)
\]
For \(L=2\), the splitting pattern satisfies the given ratio \(3:5\).