If yes, how can you find the particle size distribution in it?
That is way too general. There are nanoparticles that have size-specific absorptions and emissions (e.g. quantum dots, fullerenes, nanotubes) but that can't be generalized.
If you want to measure a particle size distribution, first you need to know where which particle absorbs, i.e. you either need an experimental calibration or at least a theoretical concept. For more details, refer to this discussion:
https://www.researchgate.net/post/How_to_measure_particle_size_using_UV-Vis_spectroscopy
If you are concerned about the correctness of the results you obtain, based on uv-vis method i suggest you go for comparison of the results with an established method of nanoparticle size determination, using the two sample t test or in case you are taking replicate samples from a set of nanomaterials widely different in structure and properties, the paired t test.
I can be considered as a rough method. Meaning you can get an idea. However, for precise analysis, other methods have to be used.
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