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Observational Constraints of Modified Chaplygin Gas in RS II Brane

FRW universe in RS II braneworld model filled with a combination of dark matter and dark energy in the form of modified Chaplygin gas (MCG) is considered. It is known that the equation of state (EoS) for MCG is a three-variable equation determined by $A$, $α$ and $B$. The permitted values of these parameters are determined by the recent astrophysical and cosmological observational data. Here we present the Hubble parameter in terms of the observable parameters $Ω_{m0}$, $Ω_{x0}$, $H_{0}$, redshift $z$ and other parameters like $A$, $B$, $C$ and $α$. From Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the $χ^{2}$ test. The best-fit values of the parameters are obtained by 66%, 90% and 99% confidence levels. Next due to joint analysis with BAO and CMB observations, we have also obtained the bounds of the parameters ($B,C$) by fixing some other parameters $α$ and $A$. The best fit value of distance modulus $μ(z)$ is obtained for the MCG model in RS II brane, and it is concluded that our model is perfectly consistent with the union2 sample data.