To solve this problem, we need to analyze the given statements about the enzyme Restriction Endonuclease and identify the incorrect one. Let's examine each option:$\newline \bullet$Option 1: The enzyme cuts DNA molecule at an identified position within the DNA.$\newline$ - Restriction endonucleases are known to cut DNA at specific sites, which are usually recognized sequences.$\newline$ - This statement is correct.$\newline \bullet$Option 2: The enzyme binds DNA at specific sites and cuts only one of the two strands.$\newline$ - Restriction endonucleases typically cut both strands of the DNA at specific sites, not just one.$\newline$ - This statement is incorrect.$\newline \bullet$Option 3: The enzyme cuts the sugar-phosphate backbone at specific sites on each strand.$\newline$ - This is a characteristic action of restriction endonucleases, as they cleave the phosphodiester bonds in the DNA backbone.$\newline$ - This statement is correct.$\newline \bullet$Option 4: The enzyme recognizes a specific palindromic nucleotide sequence in the DNA.$\newline$ - Restriction endonucleases often recognize palindromic sequences, which are sequences that read the same forward and backward.$\newline$ - This statement is correct.$\newline$Based on the analysis, the incorrect statement is Option 2.$\newline$Therefore, the correct answer is Option 2.