Final answer:
Linton Heathcliff is the correct character, described as physically and mentally weak and manipulated by his father for revenge and to gain control of Thrushcross Grange.
Step-by-step explanation:
The options provided are different characters from the novel Wuthering Heights by Emily Brontë. The character described in the question as physically and mentally weak, being used as a tool for their father's revenge and to take over TC, is Linton Heathcliff.
In the novel Wuthering Heights, written by Emily Brontë, Linton Heathcliff is portrayed as a character who is physically and mentally weak. This frailty is compounded by his father Heathcliff's manipulations, as Linton becomes an unwilling pawn in Heathcliff's vengeful schemes which ultimately aim at acquiring the property of Thrushcross Grange (TC). Linton's weakness is exploited by his father, who forces him into a strategic marriage with Catherine, the daughter of Edgar Linton, in order to gain control over her inheritance. Throughout the novel, Linton's declining health and submissive personality render him incapable of standing up to his father or shaping his own destiny. He serves as a stark contrast to some of the novel's more resolute characters, exemplifying the theme of how familial manipulation and a thirst for revenge can corrupt and destroy lives.