The correct option is A whereas his brother believes in peace and harmony
An adverb clause is a group of words containing a subject and a verb,
and it functions as an adverb, by modifying an adjective, verb or an
adverb. Adverb clauses generally begin with a subordinate conjunction
(since, because, while, etc.).
Option C is correct because it is an
adverb clause of concession or contrast, 'whereas' is a conjunction that
refers to the contrast ideas: 'violence and war' and 'peace and harmony'.
Option A is incorrect because it is not an adverb clause; 'because of his mentor' is an adverb phrase that refers to cause or reason.
(An adverb phrase does not contain a subject or a verb, or both, whereas an adverb clause contains a subject and a verb.)
Option B is incorrect because it
is a coordinate/independent clause whereas an adverb clause is subordinate/dependent.
Option D is incorrect because the answer lies in C.