Step 1: Understanding the Question:
We have to name the university to which the nationalist art school Kala Bhavana belongs.
Step 2: Recall the founder:
Rabindranath Tagore started a school at Santiniketan in 1901. It grew into Visva-Bharati, a central university. Tagore added an art wing named Kala Bhavana.
Step 3: Recall the teachers:
Nandalal Bose, a student of Abanindranath Tagore, led Kala Bhavana and taught students like Benode Behari Mukherjee and Ramkinkar Baij to follow Indian themes instead of the European academic style. That is why it is called nationalist.
Step 4: Compare with the other universities:
BHU and Jamia have separate art faculties of their own, and Ambedkar University is not known for Kala Bhavana.
Step 5: Conclusion:
The only correct pairing is Kala Bhavana with Visva-Bharati, option (1).
Step 6: Cross-check the other options.
Option (2) has its own Faculty of Visual Arts, so it is a different place. Option (3) is not connected with Kala Bhavana. Option (4) has its own Faculty of Fine Arts too. Only Visva-Bharati carries Kala Bhavana, so option (1) is the match.
Final Answer:
Option (1), Visva-Bharati University.