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Recent phenomenological analysis of experimental data on DIS processesinduced by charged leptons and neutrinos/antineutrinos beams on nuclear targetsby CTEQ collaboration has confirmed the observation of CCFR and NuTeVcollaborations, that weak structure function $F_{2A}^{Weak} (x,Q^2)$ isdifferent from electromagnetic structure function $F_{2A}^{EM} (x,Q^2)$ in anucleus like iron, specially in the region of low $x$ and $Q^2$. In view ofthis observation we have made a study of nuclear medium effects on$F_{2A}^{Weak} (x,Q^2)$ and $F_{2A}^{EM} (x,Q^2)$ for a wide range of $x$ and$Q^2$ using a microscopic nuclear model. We have considered Fermi motion,binding energy, nucleon correlations, mesonic contributions from pion and rhomesons and shadowing effects to incorporate nuclear medium effects.  The calculations are performed in a local density approximation using arelativistic nucleon spectral function which includes nucleon correlations. Thenumerical results in the case of iron nucleus are compared with theexperimental data.

Nuclear medium effects in $F_{2A}^{EM}(x,Q^2)$ and $F_{2A}^{Weak}(x,Q^2)$ structure functions