The correct answer is (a) Allahabad.
Bharat Kala Bhawan Museum is a museum located in Allahabad, India. It was founded in 1920 by the scholar and art collector Ananda K. Coomaraswamy. The museum houses a collection of Indian art and artifacts, including sculptures, paintings, textiles, and manuscripts.
The museum is divided into several galleries, each of which is dedicated to a different period or style of Indian art. The galleries include the Gupta Gallery, the Mughal Gallery, the Rajput Gallery, and the Modern Indian Art Gallery.
The museum also has a library and a research center. The library contains over 20,000 books on Indian art and culture. The research center provides facilities for scholars and students to study Indian art.
Bharat Kala Bhawan Museum is a popular tourist destination. It is open to the public from 10:00 am to 5:00 pm, seven days a week.
The other options are incorrect because they are not the locations of Bharat Kala Bhawan Museum.
(b) Lucknow is the capital of the Indian state of Uttar Pradesh. It is located on the banks of the Gomti River. Lucknow is known for its palaces, mosques, and gardens.
(c) Mathura is a city in the Indian state of Uttar Pradesh. It is located on the banks of the Yamuna River. Mathura is a holy city for Hindus and Jains.
(d) Varanasi is a city in the Indian state of Uttar Pradesh. It is located on the banks of the Ganges River. Varanasi is a holy city for Hindus.