The correct option is B Achutappa Nayak
Achutappa Nayak succeeded Sevappa Nayak. Achuthappa Nayak was the eldest son of Sevappa Nayak, the Vijayanagar feudatory of Arcot who founded the Thanjavur Nayak dynasty. Achuthappa Nayak was the Thanjavur Nayak king who ruled from 1560 to 1614. From 1560 to 1580, he was co-monarch along with his father and from 1580 to 1614, he ruled on his own. His reign is generally regarded as one of peace and stability.