Three laser beams have wavelengths \(\lambda_{1}=400 \mathrm{~nm}, \lambda_{2}=600 \mathrm{~nm}\), and \(\lambda_{3}=800 \mathrm{~nm}\). The power of each laser beam is \(1 \mathrm{~W}\).

a. Rank in order, from largest to smallest, the photon energies \(E_{1}, E_{2}\), and \(E_{3}\) in these three laser beams. Explain.

b. Rank in order, from largest to smallest, the number of photons per second \(N_{1}, N_{2}\), and \(N_{3}\) delivered by the three laser beams. Explain.