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The properties of fundamental particles and their interactions are described by the Standard Model of Particle Physics. We use potential model to study the Spectra of the heavy-heavy and heavy-light meson. We utilize the framework of the non-relativistic and relativistic quark model in proposing Martin-like potential and discuss the decay properties of mesons. In addition to that, investigating some popular numerical techniques, which are frequently used in the literature. My conclusions have far reaching consequences for particle physics.