If a plant with carotenoids but no chlorophyll then caretenoids absorb light at wavelengths around 400-500 nm, in which violet and blue. Energy absorbed by these pigments drive photosynthesis so violet blue light would be most useful to this plant.
The best wavelength of visible light for photosynthesis under blue range is 400-450 nm and in red range is 600 - 700 nm . Plants have other pigment which help the plant in absorption of light that chlorophyll misses.
carotenoids are yellow in color to red pigment presents in almost every leaf that absorb some of the green that chlorophyll can not. carotenoids that fall foliage much of their yellow and orange colors.
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