The velocity of an electron in single electron atom in an orbit

The energy level diagram is for a hypothetical atom. A gas of these atoms initially in the ground state is irradiated with photons having a continuous range of energies between $7$ and $10$ electron volts. One would) expect photons of which of the following energies to be emitted from the gas?

The diagram to the right shows the lowest four energy levels for an electron in a hypothetical atom. The electron is excited to the $-1\mathrm{eV}$ level of the atom and transitions to the lowest energy state by emitting only two photons. Which of the following energies could not belong to either of the photons?