you may find the answer from the following article:

Dang, Thi My Dung, Thi Tuyet Thu Le, Eric Fribourg-Blanc, and Mau Chien Dang. "Synthesis and optical properties of copper nanoparticles prepared by a chemical reduction method." Advances in Natural Sciences: Nanoscience and Nanotechnology 2, no. 1 (2011): 015009.

Of course you can. In a common UV-Vis-NIR spectrophotometer, absorbance spectra is obtained by varying the wavelength of incident radiation, that is inflicted on a dispersion or solution of nanoparticles.

Depending on the nature of material, absorbance properties at different wavelengths show up.

Your solution is coloured means, it has certain absorbance properties in the visible region. But, it does not mean, there are no absorbance in UV-region.

You have to simply acquire data for the entire regime of interest. If it has UV-absorbance characteristics, it'll show up. Don't think about, whether the sample is coloured or not. Simply follow the standard procedure.

I agree with Dr Azeez Barzinjy , to you can refer that paper for better understanding.

yes you can measure absorbance if the solution is colored

i have measure the absorbance for nanoparticule of curcumin paracetamol

you can refer my paper of study of curcumin paracetamol

Yes you can measure absorbance irrespective your solution color. Just scan in full range of your spectrometer. You will get the absorption peak.

1. We can measure the optical absorbance response of solution containing nano particles via wavelength scan (to look for wavelength at which maximum amount of light would be absorbed ( λ max) using UV-visible spectrophotometer).

2. Since, the solution is colored, the λ max would be expected in visible regions (400-800 nm). Also if the solution is very much concentrated or highly colored (darker the color), the absorption response may go out of range, so make sure that you record the absorption response by diluting the solution with appropriate solvent. If you want any more clarity, you could write back to me @ [email protected] or approach via research gate. Good luck.