An ultraviolet photon is absorbed by a fluorescent molecule, which then emits two photons.

(a) Are the wavelengths of the emitted photons longer than, shorter than, or the same as the wavelength of the ultraviolet photon? Explain.

(b) If the ultraviolet photon has a wavelength of 254 nm and one of the photons emitted by the fluorescent material has a wavelength of 415 nm, what is the wavelength of the other emitted photon? Assume that none of the energy of the absorbed ultraviolet photon is converted to other forms.