We Can Model a General Cyanine-Type Dye Molecule as If $N$

Multiple Choice

We can model a general cyanine-type dye molecule as if it contained $N$ electrons trapped in a "box"-like potential energy function, where $N$ is some even integer. The energy of a single quanton in a box is given by $E_{n}=E_{1} n^{2}$ , where $n$ is an integer and $E_{1}$ is the energy of the ground $(n=1)$ energy level. If for a given molecule there are four electrons trapped in the molecule's "box," what is the lowest possible total energy of those electrons?

A) $E_{\text {tot }}=E_{1}$
B) $E_{\text {tot }}=4 E_{1}$
C) $E_{\text {tot }}=8 E_{1}$
D) $E_{\text {tot }}=10 E_{1}$
E) $E_{\text {tot }}=30 E_{1}$