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The electromagnetic nuclear structure functions $F_{1A} (x,Q^2)$, $F_{2A}(x,Q^2)$ and $F_{LA} (x,Q^2)$ have been calculated using a microscopic model ofnucleus to study the nuclear medium effects on the ratio$R_A(x,Q^2)=\frac{\sigma_{LA} (x,Q^2)}{\sigma_{TA} (x,Q^2)} = \frac{F_{LA}(x,Q^2)}{2xF_{1A} (x,Q^2)}$ and the Callan-Gross relation(CGR) in nuclei. Thenuclear medium effects due to the Fermi motion, binding energy, nucleoncorrelations, mesonic contribution and shadowing have been taken into account.The theoretical results for the nuclear dependence of $R_{A} (x,Q^2)$ and itsimpact on CGR have been presented and compared with the available experimentaldata on the various nuclear targets. The predictions have been made for $R_{A}(x,Q^2)$ in the kinematic region of $x$ and $Q^2$ for some nuclei relevant forthe future experiments to be performed at the JLab.

Nuclear dependence of $R=\frac{\sigma_L}{\sigma_T}$ and Callan-Gross relation in nuclei