The correct answer is (a) Godavari.
The Godavari River is the largest river in India by discharge. It originates in the Western Ghats near Nasik in Maharashtra and flows eastward across the Deccan Plateau 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 destination for fishing, boating, and other water sports.
The Aliabet Island is located in the Godavari River estuary, near the city of Rajahmundry. The island is a popular tourist destination, known for its beaches, temples, and wildlife.
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 the largest river in India. The Narmada River flows into the Arabian Sea, and the Tapti River also flows into the Arabian Sea.