Final answer:
Ultraviolet light (option B) is the nonionizing type of radiation with the shortest wavelength among the given options.
Step-by-step explanation:
The type of radiation that is nonionizing and has the shortest wavelength is ultraviolet light (option B).
When comparing types of electromagnetic radiation, the energy and potential for ionization increase with shorter wavelengths. Among the options provided, gamma rays and X-rays are ionizing and have shorter wavelengths than ultraviolet light. Microwaves and infrared radiation have longer wavelengths and are also nonionizing, but ultraviolet light has a shorter wavelength than both.
Therefore, the correct answer is B) ultraviolet light.