To solve this problem, we need to determine which statement correctly describes the process of replication in $E.$coli. Let's analyze each option:$\newline \bullet$Option 1: The DNA dependent DNA polymerase catalyses polymerization in 5' $\rightarrow$ 3' as well as 3' $\rightarrow$ 5' direction.$\newline$ - This statement is incorrect. DNA polymerase can only add nucleotides in the 5' $\rightarrow$ 3' direction. It does not catalyze polymerization in the 3' $\rightarrow$ 5' direction.$\newline \bullet$Option 2: The DNA dependent DNA polymerase catalyses polymerization in 5' $\rightarrow$ 3' direction.$\newline$ - This statement is correct. DNA polymerase synthesizes new DNA strands by adding nucleotides to the 3' end of the growing strand, thus proceeding in the 5' $\rightarrow$ 3' direction.$\newline \bullet$Option 3: The DNA dependent DNA polymerase catalyses polymerization in one direction that is 3' $\rightarrow$ 5'.$\newline$ - This statement is incorrect. DNA polymerase does not catalyze polymerization in the 3' $\rightarrow$ 5' direction.$\newline \bullet$Option 4: The DNA dependent RNA polymerase catalyses polymerization in one direction, that is 5' $\rightarrow$ 3'.$\newline$ - While RNA polymerase does synthesize RNA in the 5' $\rightarrow$ 3' direction, this statement is not relevant to DNA replication in $E.$coli.$\newline$Therefore, the correct statement regarding the process of replication in $E.$coli is:$\newline$Option 2: The DNA dependent DNA polymerase catalyses polymerization in 5' $\rightarrow$ 3' direction.