Step 1: Python File Modes Explained.
- \texttt{"r"} → read-only access.
- \texttt{"w"} → write-only access (overwrites existing content).
- \texttt{"r+"} → read and write access (requires the file to exist).
- \texttt{"w+"} → write and read access (creates the file if it doesn't exist, truncates if it does).
Step 2: Evaluate Options.
- Option 1: Omitting the mode defaults to "r" (read-only). Incorrect.
- Option 2: \texttt{"r+"} correctly specifies read and write mode.
- Option 3: \texttt{"rw"} is not a recognized file mode in Python. Incorrect.
- Option 4: \texttt{"rw+"} is also an invalid Python file mode. Incorrect.
Conclusion: \[\boxed{\texttt{file.open("data.txt","r+")}}\]