Step 1: Location of Bombay High.
Bombay High is an offshore oil field located about 160 km off the coast of Mumbai in the Arabian Sea. It is managed by the Oil and Natural Gas Corporation (ONGC).
Step 2: Resource extracted.
The main resource extracted from Bombay High is mineral oil (crude petroleum). It is India's largest offshore oil-producing field and plays a crucial role in meeting the country's energy demands.
Step 3: Elimination of other options.
- Copper → Found in Rajasthan, Madhya Pradesh, Jharkhand, but not Bombay High.
- Bauxite → Found in Odisha, Jharkhand, Chhattisgarh.
- Iron ore → Major deposits in Odisha, Jharkhand, Chhattisgarh, Karnataka, not Bombay High.
\[
\boxed{\text{Hence, Bombay High is famous for the mining of Mineral Oil.}}
\]