Scattered light from the objective lens, directly exposed to the intense sunlight, is a dominant source of stray light in internally occulted coronagraphs. The variable stray light, such as the scatter of dust on the objective lens, can produce varying scattering backgrounds in coronal images, significantly impacting image quality and data analysis. Through measured data of the Lijiang 10-cm Coronagraph, the quantitative relationship between the distribution of dust on the objective lens and the resulting scattering backgrounds was analyzed. Two models for the scattering background were obtained, by which the original coronal data can be well corrected. The second model, which performs better, gives the scattering background distribution by
${\mbox{Scatter}(r,I_\theta(\theta))=(0.99-0.43r/R_\odot)\times 10^{-7}I_\theta(\theta)/s+0.17-0.1r/R_\odot}$
It indicates that the scattering background at the image plane weakens with increasing height and enhances with increasing dust level on the objective lens. Moreover, we discovered that the dust on the center of the objective lens can contribute more significantly to the scattering background than on the edge. For the first time, this study quantitatively confirms the significant impact of the stray light produced by dust on the objective lens of the coronagraph. It is crucial for the high-precision calibration of ground-based coronagraph data, enabling a more accurate analysis of coronal structure. Furthermore, it will support the provision of reliable observational data for future routine coronal magnetic field measurements using coronagraphs.