The correct answer is option 4, Nellore. Nellore is known as the `shrimp capital of India` due to its significant contribution to the shrimp farming industry. Shrimp farming is a major economic activity in Nellore, with many farmers cultivating shrimp in the region. The favorable climate and availability of water resources make Nellore an ideal location for shrimp cultivation. The region also has a well-developed infrastructure and market for shrimp exports. Mangalore (option 1) is not known for its shrimp farming industry. Nagapatnam (option 2) is a coastal town in Tamil Nadu but is not particularly recognized as the shrimp capital. Kochi (option 3) is famous for its seafood, but it is not specifically referred to as the shrimp capital of India.