The goal of this research is to establish a mathematical model for prescribing the behaviour of a Saroj Veena idealised vibrating string. We can measure theoretical amplitudes for the various harmonics using the mathematical model, depending on the magnitude and location of the pluck. An inquiry into the effect of the position and method of plucking a Saroj Veena string on the distribution of energy between simple tone and overtones is addressed in this article. It was accomplished by collecting sound recordings from a Saroj Veena, and by using computer tools to interpret the data numerically. In conclusion, it is mentioned that when the string was plucked close to the edge of the Saroj Veena, there were more overtones made. Since the paper was an analysis of physics, it experimentally investigated the matter, offering few or no mathematical reasons for the findings.