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You may answer your question by asking yourself what does U=V=0 means.
U and V are linked to the crominace (color), so if they are 0 (there is no crominance, so no color), then you'll have just Y.
That, in RGB case (light; and here be careful: adding light is different than adding colors on paper), means that all the colors have the same value (= to Y, the luminance)
