A famous center for miniature painting during the Mughal period was:

Srinagar
Jammu City
Basohli
Leh

The correct answer is c) Basohli.

Basohli is a town in the Indian state of Jammu and Kashmir. It is famous for its miniature paintings, which are characterized by their bold colors, intricate designs, and use of gold leaf. The Basohli style of painting developed in the 17th century, and it reached its peak in the 18th century. Basohli paintings often depict scenes from Hindu mythology and folklore, as well as portraits of Mughal emperors and their courtiers.

The other options are incorrect. Srinagar is the capital of Jammu and Kashmir, and it is a major tourist destination. Jammu City is the second largest city in Jammu and Kashmir, and it is an important commercial center. Leh is a town in the Ladakh region of Jammu and Kashmir, and it is a popular destination for trekking and mountaineering.