If your nanoparticles are spherical in size you can correlate between UV-Vis spectra and their size. You can follow this paper ( RSC Adv., 2014, 4, 3974 )
At first, you'd better to use the solution of colloidal Ag nanoparticles, because Ag nanoparticle will have aggregation in solid form. Secondly, you can measure the absorption or the transmission of the Ag solution by UV-Vis to achieve the resonant peak of Ag LSPR. Thirdly, you can determine the nanoparticle size referring to some figures reported in papers. You have to use colloidal Ag solution with great dispersion, since aggregation will lead to red-shift of the resonant wavelength.
B R Siddharth To know about the size, morphology, concentration, fraction of spherical to nonspherical nanoparticles, and size distribution of NPs from UV-Vis data, the UV-Vis data (especially the surface plasmon resonance) is fitted with Mie model (for spherical NPs) and Mie-Gans model (for nonspherical NPs). The Mie model is based on the Maxwell equations accounting for the discontinuity of the dielectric constant between the metal sphere and the surrounding medium. It has been successfully applied to free and functionalized metal nanoparticles in various solvents or matrices with diameters in the range 4-25 nm. Despite the differences among samples, an accuracy of about 6% on the nanoparticle's average size with respect to sizes measured by transmission electron microscopy (TEM). Moreover, the fitting model provides other information not available from TEM like the fraction of spherical to nonspherical nanoparticles as well as the concentration and size distribution of NPs in the sample, which is particularly useful for measuring aggregation processes.
In the following video tutorial, I have used two Mathematica codes based on the above two models to calculate various properties associated with the NPS. The codes and other relevant material are provided in the video description. Thanks