Therefore, the correct matching is:
A - III (Microwaves - Used in RADAR)
B - IV (Ultraviolet rays - Water purification)
C - I (X-rays - Medical diagnostic)
D - II (Infrared rays - Night vision)
The dimension of $ \sqrt{\frac{\mu_0}{\epsilon_0}} $ is equal to that of: (Where $ \mu_0 $ is the vacuum permeability and $ \epsilon_0 $ is the vacuum permittivity)
The unit of $ \sqrt{\frac{2I}{\epsilon_0 c}} $ is: (Where $ I $ is the intensity of an electromagnetic wave, and $ c $ is the speed of light)