The correct answer is (a) Godavari.
The Godavari River is the second-longest river in India, after the Ganges. It originates in the Western Ghats of Maharashtra and flows east through the states of Telangana, Andhra Pradesh, and Odisha before emptying into the Bay of Bengal. The Godavari River is a major source of irrigation and drinking water for millions of people in India. It is also a popular tourist destination, known for its scenic beauty and religious significance.
The Aliabet Island is located in the Godavari River estuary, near the city of Kakinada in Andhra Pradesh. The island is a popular tourist destination, known for its beaches, temples, and wildlife sanctuaries.
The other options are incorrect because they are not rivers that flow into the Bay of Bengal. The Cauvery River flows into the Bay of Bengal, but it is not located near the Aliabet Island. The Narmada River flows into the Arabian Sea, and the Tapti River flows into the Gulf of Khambhat.