Hi ksenor,
A good description of the rationale for the order of colors of a rainbow is at:
http://www.enotes.com/science-fact-find ... rs-rainbow
Here, you'll discover that the order of the colors is based on the frequency of the light. The mnemonic for remembering the order is ROY G. BIV (red, orange, yellow, green, blue, indigo, violet).
The only experiment that I can think of is to develop a multi-colored light, pass it through water and see the order of colors produced by its "rainbow."
One could I suppose:
1. filter a color out of white light and look at its "rainbow." This may be uninteresting, because the expected result is a normal rainbow, less the filtered color.
2. develop light with only two colors and see if the order of its "rainbow" is the same as the order in a normal rainbow: ROY G. BIV (red, orange, yellow, green, blue, indigo, violet). This is probably what you were looking for. I'm not sure exactly how to achieve two colored light, except using two lasers or five filters applied to normal white light. I don't know if either of these two are practical.
Maybe others can help.