What happens to wavelength as frequency increases?

When frequency increases, the wavelength decreases due to the inverse relationship defined by the equation:

[ c = f \times \lambda ]

where ( c ) represents the speed of light, ( f ) is the frequency, and ( \lambda ) is the wavelength. In this equation, the speed of light is constant in a given medium, so if the frequency (( f )) increases, then the wavelength (( \lambda )) must compensate by decreasing in order to maintain the equality.

The concept of this relationship is crucial in understanding electromagnetic waves, including those used in radiology, where higher frequency waves (like X-rays) have shorter wavelengths compared to lower frequency waves (like radio waves). Understanding this relationship is foundational in examining how different types of radiation interact with matter and their applications in medical imaging.