To answer this question, the user needs to have knowledge of India's submarine history and the museums associated with it.
Option A: INS Virat is not India's first submarine museum. It is a decommissioned aircraft carrier of the Indian Navy.
Option B: Sagar Kanya is not India's first submarine museum. It is a research vessel owned by the National Institute of Ocean Technology.
Option C: INS Kursura is India's first submarine museum. It is a Russian-built submarine that served in the Indian Navy from 1969 to 2001. It was converted into a museum and opened to the public in 2002.
Option D: INS Vikrant is not India's first submarine museum. It is a decommissioned aircraft carrier of the Indian Navy.
Therefore, The Answer is: C. INS Kursura.