The correct answer is C. 1832 AD.
The rulers of Singhbhum accepted the supremacy of the British in 1832 AD. This was done through a treaty signed between the British and the rulers of Singhbhum. The treaty was signed by Raja Raghunath Singh Deo, the ruler of Singhbhum, and Colonel John Campbell, the British Resident at Cuttack.
The treaty gave the British control over the external affairs of Singhbhum. The rulers of Singhbhum were allowed to continue to rule their kingdom internally. However, they had to pay tribute to the British.
The treaty was a significant event in the history of Singhbhum. It marked the beginning of British rule in the region. The treaty also had a significant impact on the social and economic development of Singhbhum.
Option A is incorrect because it is the year in which the British took over the administration of Singhbhum.
Option B is incorrect because it is the year in which the British abolished the practice of sati in Singhbhum.
Option D is incorrect because it is the year in which the Indian Rebellion of 1857 took place.