The correct answer is: a) Revival and popularization of Bharatanatyam.
Rukmini Devi Arundale was an Indian dancer, choreographer, social reformer, and art patron. She was a pivotal figure in the revival and popularization of Bharatanatyam, a classical Indian dance form. She founded the Kalakshetra Foundation in Chennai, India, in 1936, which is a leading institution for the study and performance of Bharatanatyam. She also played a key role in the development of the modern form of Bharatanatyam, which is now widely performed and enjoyed around the world.
Option b) is incorrect because Rukmini Devi Arundale did not compose Carnatic music kritis. Carnatic music is a classical music genre from South India. Kritis are songs in Carnatic music.
Option c) is incorrect because Rukmini Devi Arundale did not design traditional Kanchipuram sarees. Kanchipuram sarees are a type of silk saree from the Kanchipuram region of Tamil Nadu, India.
Option d) is incorrect because Rukmini Devi Arundale did not sculpt in the Chola bronze style. Chola bronzes are a type of bronze sculpture from the Chola dynasty of South India.