Answer:
Claudius is detached and critical.
Step-by-step explanation:
In the given excerpt, Claudius is speaking to Hamlet in Act 1, Scene 2 of the play. In this Scene, King Claudius reveals to his courtiers about his marriage to Gertrude, his brother's wife, Old King Hamlet.
King Claudius in a very cold manner questions Hamlet that why is he still mourning the death of his father. He says that everyone loses a father and mourning should not be for a long period. He criticizes Hamlet for mourning too much.
We can also see that Claudius is detached and do not feel the pain of Hamlet.
So, the characterization of Claudius in this passage is Detached and critical.