Which branch of government interprets and applies the law?

The judicial branch is responsible for interpreting and applying the law. This function of the judiciary involves examining the legality of laws, resolving disputes, and ensuring that laws are applied consistently across cases. Courts interpret statutes, review legislative acts, and assess whether laws align with the constitution, essentially acting as the guardians of legal interpretation.

In contrast to this, the legislative branch primarily focuses on creating and enacting laws, while the executive branch is responsible for enforcing those laws. The term "federal branch" is not an official designation within the framework of U.S. government; instead, the federal government is composed of the three established branches: legislative, executive, and judicial. Thus, the judicial branch is the correct answer as it specifically encompasses the role of adjudicating and interpreting laws accurately.