Step 1: Understanding Jasmine.
Jasmine is a genus of shrubs and vines in the family Oleaceae, native to tropical and warm temperate regions of the world. The most common species known as Jasmine is \textit{Jasminum officinale}, a fragrant flowering plant. It is widely known for its white, fragrant flowers, and is cultivated in many parts of the world.
Step 2: Scientific name.
The scientific name for Jasmine is \textit{Jasminum officinale}. This name is used in the scientific community to precisely identify the plant species, and it is universally accepted across the globe.
Step 3: Comparison with other options.
- (A) Rose Indica: Incorrect. \textit{Rose Indica} refers to a type of rose, specifically the Indian rose, and not the Jasmine plant.
- (B) Tagetes erecta: Incorrect. \textit{Tagetes erecta} is the scientific name for the Marigold plant, commonly grown as an ornamental flower. It is unrelated to Jasmine.
- (C) Jasminum officinale: Correct. This is the correct scientific name for Jasmine, a species well-known for its fragrant white flowers and medicinal properties.
- (D) None: Incorrect. \textit{Jasminum officinale} is the correct scientific name of Jasmine, so this option is not valid.
Step 4: Conclusion.
Therefore, the correct scientific name of Jasmine is \textit{Jasminum officinale}, which is widely recognized in the botanical community.
Final Answer:} Jasminum officinale.