X-rays with greater energy possess what size of wavelengths?

X-rays with greater energy are associated with shorter wavelengths due to the inverse relationship defined by the equation ( E = \frac{hc}{\lambda} ), where ( E ) is energy, ( h ) is Planck's constant, ( c ) is the speed of light, and ( \lambda ) is the wavelength. As the energy of the X-rays increases, the wavelength decreases. This means that higher energy photons, such as those produced in various medical imaging applications like X-rays, will have shorter wavelengths.

The other options do not accurately reflect this scientific principle. Longer wavelengths would correspond to lower energy, medium wavelengths would still fall within a range that does not apply specifically to high-energy X-rays, and variable wavelengths do not specify a consistent pattern between energy and wavelength. Therefore, the choice indicating that greater energy corresponds to shorter wavelengths effectively captures the underlying physics of X-ray production and behavior.