Fusarium is the causal organism responsible for stem rot in carnations. It causes vascular wilt and stem base rot by infecting the plant through the roots and stem tissues, leading to yellowing, wilting, and eventual plant death.
Option (A) Rhizoctonia: Incorrect. It causes damping off and root rot in some crops, but not typically stem rot in carnations.
Option (B) Botrytis: Incorrect. Botrytis cinerea causes grey mold in many flowers but not the main cause of stem rot in carnations.
Option (C) Fusarium: Correct. Fusarium species (especially Fusarium oxysporum) are responsible for stem rot in carnations.
Option (D) Uromyces: Incorrect. Uromyces is associated with rust diseases, not stem rot.