Rayleigh scattering is a specific type of light scattering phenomenon that occurs when light, which is significantly smaller than the scatterer, interacts with an inhomogeneous medium. The examination of the intensity distribution features of Rayleigh scattering is crucial for assessing the interior properties of particles. This work presents the design and construction of a cost-effective, user-friendly Rayleigh scattering experimental apparatus with a broad variety of applications. The change in Rayleigh scattering intensity of silver nanoparticle dispersion was rigorously examined across various concentrations, incoming light intensities, and photometric distances. The experimental results indicate that the scattered light produced by the silver nanoparticle dispersion, with a particle size of 2-10 nm and irradiated by red light at a wavelength of 650 nm, exhibits Rayleigh scattering. When the concentration of silver nanoparticle dispersion is below 60 ppm, the intensity of scattered light exhibits a linear correlation with the concentration. When the concentration exceeds 100 ppm, the intensity of scattered light exhibits no significant correlation with the concentration. The intensity of dispersed light is directly proportional to the incoming light intensity and inversely proportional to the square of the observed distance. The findings are highly significant for the investigation of Rayleigh scattering and the examination of particle characteristics.