To determine which statement is true based on the appearance of the two boxes under red light, we can analyze the behavior of colors and light.
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Box A appears black: Black objects typically absorb all colors of light and do not reflect any light back to the observer. Therefore, Box A absorbs red light (since it appears black under red illumination).
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Box B appears red: Red objects appear red because they reflect red light and absorb other colors of light. In this case, Box B reflects red light (making it appear red).
Given this analysis, the correct statement is:
Box A absorbs red light, and Box B reflects red light.