Which river flows into the Wular lake in the north and then into Baramulla?

The correct answer is Jhelum.

Detailed Explanation:
1. Origin: The Jhelum River originates from the Verinag Spring situated at the foot of the Pir Panjal mountain range in the southeastern part of the Kashmir Valley.
2. Flow through Wular Lake: As the river flows northward through the Kashmir Valley, it passes through the city of Srinagar and empties into Wular Lake, which is one of the largest freshwater lakes in Asia.
3. Flow to Baramulla: After emerging from Wular Lake in the north, the Jhelum River changes direction and flows westward towards the city of Baramulla.
4. Beyond Baramulla: Beyond Baramulla, the river flows through a narrow gorge before crossing into Pakistan-administered Kashmir.

Therefore, the river that flows into Wular Lake in the north and then through Baramulla is the Jhelum River.