Answer :
By doing this, Odysseus demonstrates D. his devotion to his family and to his role as husband and father. He doesn't want to go to the war and die without any proper reason. He prefers to stay with his family and take care of them, because he loves his wife and son dearly. Thus he fakes his mental condition in order to avoid going to war because he just doesn't want to leave his family unprotected.
D. his devotion to his family and to his role as husband and father