Final answer:
The electromagnetic radiation with an energy per photon 100 times that of 988 nm would be in the X-ray region, since decreasing the wavelength by 100 times would increase the photon energy to the level typical of X-rays. Thus, the correct answer is option c.
Step-by-step explanation:
The radiation with an energy per photon 100 times that associated with 988 nm radiation would be found in the X-ray region of the electromagnetic spectrum. To understand why, we should consider the relationship between wavelength, frequency, and energy of a photon, which is described by the equation E = hν, where E is the energy, h is Planck's constant, and ν (nu) is the frequency. Since frequency is inversely proportional to wavelength (ν = c/λ, with c being the speed of light and λ the wavelength), a shorter wavelength corresponds to a higher frequency and thus a higher energy per photon. The 988 nm wavelength falls within the infrared region. Reducing the wavelength by 100 times would significantly increase the energy per photon, which corresponds with X-ray radiation, as X-rays have higher photon energies than ultraviolet or visible light, following infrared in the electromagnetic spectrum.