The coastal State/Union Territory of Bay of Bengal is :

The correct option is Odisha.

Step-by-step Explanation:

1. Understanding the Geography of India's Coastline:
India has a long coastline spanning both its eastern and western boundaries. The water body located on the eastern side of India is the Bay of Bengal, while the water body on the western side is the Arabian Sea.

2. Analyzing the Given Options:
• Odisha: Located on the eastern coast of India along the Bay of Bengal.
• Karnataka: Located on the western coast of India along the Arabian Sea.
• Kerala: Located on the southwestern coast of India along the Arabian Sea.
• Telangana: A landlocked state in southern India that does not border any sea or ocean.

3. Conclusion:
Among the given options, Odisha is the state situated along the Bay of Bengal coast.