The study of the properties of light that depend on wavelength is blank

The study of the properties of light that depend on wavelength is spectroscopy

Explanation:

Spectroscopy is the study of the spectra produced due to the interaction of object or matter with electromagnetic radiations

When light travels through an object, it absorbs and emits light and disperses into a spectrum of its component colors; similar to the pattern of spectral rays observed when light travels through a prism.

Any electromagnetic radiation including the visible light depends upon its properties like frequency, wavelength, and velocity