Final answer:
Emperor Akbar visited Guru Amardas Ji in the year 1572 A.D., during a time of religious tolerance and interfaith dialogue actively promoted by Akbar. The correct option is B.
Step-by-step explanation:
The visit of Emperor Akbar to Guru Amardas Ji took place in 1572 A.D. Akbar succeeded Humayun in the year 1556 and ruled until his demise in 1605.
During Akbar's rule, he showed great interest in religious matters, encouraging debates and promoting tolerance amongst various religious faiths.
His policies led him to encounters with various religious leaders, including the third Sikh Guru, Guru Amardas Ji.
As a result, it can be inferred that the meeting between Akbar and Guru Amardas Ji happened before the end of Akbar's reign, thus ruling out options C and D.
Option B—1572 A.D.—is the correct answer, falling within the period of Akbar's significant interest in religious discussions and prior to his victory in Gujarat in 1573.
Known for his contributions to interfaith exchange and his creation of the syncretic religion Din-i Ilahi, Emperor Akbar's engagement with various spiritual leaders, including those of Sikh religion, underscores the inclusive nature of his regime. The correct option is B.