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When all light is reflected back, it is said to be "perfectly reflected" or "fully reflected." This means that all incoming light is bounced off the surface and none is absorbed or transmitted through it.
White light is formed when all colors are reflected off an object. This is because white light is a combination of all the colors in the visible spectrum.
The world has color because objects reflect and absorb certain wavelengths of light. When light hits an object, the object absorbs some wavelengths and reflects others, which our eyes perceive as color. The perception of color is a result of how our eyes and brain process these reflected light waves.
What we perceive as color is specific wavelengths of light. Objects either emit or reflect light. Again depending on which wavelengths are either emitted or reflected is the color(s) we see. In emitted colors, a given source emits light. If all wavelengths are emitted then what we see is white. The object may emit specific wavelengths of light or it may use some sort of filter that allows only specific wavelengths to pass through and blocks all others. In reflected colors. the object or pigments of or on an object absorb all light wavelengths except certain ones. Those that are not trapped and are reflected or refracted back (as in the case of rainbows) we perceive as color(s).
When all colors of light are combined, they result in white light. This is known as additive color mixing, where the primary colors of light (red, green, and blue) mix together to create white light.