The correct answer is option 2, Krishna. The Nagaijuna`Sagar Project is located on the Krishna River.
Option 1, Godavari, is incorrect. The Godavari River is a different river and the project is not located on it.
Option 3, Kaveri, is also incorrect. The Kaveri River is located in southern India and the Nagaijuna`Sagar Project is not associated with it.
Option 4, Mahanadi, is also incorrect. The Mahanadi River is located in the state of Odisha and is not related to the Nagaijuna`Sagar Project.
It`s important to note that the Nagaijuna`Sagar Project is a major dam and hydroelectric project located on the Krishna River, between the states of Telangana and Andhra Pradesh in India. The project was built to provide irrigation water to the surrounding agricultural areas and generate hydroelectric power.