Joel Joseph (20), a native of Kerala, took the extreme step last evening, they said.
In a press release issued by the Christian Medical College and Hospital (CMCH), Medical Superintendent William Bhatti said, "He was a brilliant student and had just come back on January 8 after winter vacations".
The victim's parents, who are also in the medical profession, live in Kuwait.
Bhatti said the parents have been informed about the tragedy.
Harjinder Singh, SHO, PS-3 said they found a sentence written on the wall of Joel's hostel room in English, saying, "I am responsible for my death".
The body has been sent for postmortem, police added.