Accelerating expansion of the universe in modified symmetric teleparallel gravity

The fundamental nature and origin of dark energy are one the premier mysteries theoretical physics. In General Relativity Theory, cosmological constant $\Lambda$ is simplest explanation for energy. On other hand, suffers from a delicate issue so-called fine-tuning problem. This motivates to modify spacetime geometry Einstein's GR. $f(Q)$ gravity recently proposed modified theory in which non-metricity scalar $Q$ drives gravitational interaction. this article, we consider linear model, specifically $f(Q)=\alpha Q + \beta$, where $\alpha$ $\beta$ free parameters. Then estimate best fit values model parameters that would be agreement with recent observational data sets. We use 57 points updated $H(z)$ sets, 6 BAO 1048 Pantheon supernovae samples. apply Bayesian analysis likelihood function along Markov Chain Monte Carlo (MCMC) method. Further, analyse physical behaviour such as density, deceleration, EoS corresponding constraint evolution deceleration parameter predicts transition decelerated accelerated phases universe. equation state depicts quintessence type fluid part. found our can effectively describe late time cosmic acceleration without invoking any component matter