Which of the following river is known as India's River of Sorrow?

Option A: Hooghly - The Hooghly is an important river, but it's not usually known as a river of sorrow on a national scale.

Option B: Damodar - The Damodar River was previously known for its devastating floods.

Option C: Ghaghara - The Ghaghara river also causes floods, but the Kosi river does so more frequently and severely.

Option D: Kosi - The Kosi River is very well-known as the "River of Sorrow" because it changes its course often, causing major floods and destruction in Bihar.

Therefore, the correct answer is Option D: Kosi. Because the Kosi River has been historically notorious for causing devastating floods, it's earned the unfortunate title of "India's River of Sorrow."