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Question:

if 100%cotton fibre, yarn, fabric is dyed with same quantity of dye what can be the difference in shade depth?

we want to know the reason and the quantum difference.

Answer:

It is in the preparation that the differences are introducedYou are looking for things which will affect the concentration of the dye, or the dye's ability to penetrate the cottonSo less dye in the mixture, more cotton, more water and less time in the dye will all reduce the depth of shadeThe water temperature and the mordant used (or not used) will both affect how much the cotton fibers open up to allow the dye to get trapped in themOther things that will slow the cotton taking up the dye would be if the cotton was contaminated, say with oils for exampleAlso the thread having a high twist, or tightly woven (if it is cloth) will stop the dye being taken up very wellThe difference in shade depth can be massiveAn oily, densely-woven cloth dipped in cold dye at low concentration with no mordant for only a short time, will not appear to have taken up any dye at allIf loosly-woven cloth is put in concentrated dye at a warm temperature with the recommended amount of mordant and left for several hours, then take-up would be 100% or even possibly greater than that, where it would appear darker than it shouldThis excess dye should come out again when it is washedI hope this helps?
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