The correct answer is (d) 1853.
The First Law Commission of India was constituted under the Charter Act of 1853. The Commission was headed by Lord Macaulay and its main objective was to codify the Indian Penal Code, the Indian Evidence Act, and the Code of Criminal Procedure. The Commission submitted its report in 1857, and its recommendations were largely adopted by the British government.
The Charter Act of 1853 was an important piece of legislation that granted the British East India Company greater powers in India. The Act also established a Legislative Council in India, which was responsible for making laws for the country. The First Law Commission was one of the first bodies to be established by the Legislative Council.
The other options are incorrect because they are not the years in which the Charter Act of 1853 was passed. The Charter Act of 1726 was passed by the British Parliament to regulate the affairs of the British East India Company. The Charter Act of 1813 was passed to renew the charter of the British East India Company and to grant it additional powers in India. The Charter Act of 1833 was passed to further regulate the affairs of the British East India Company and to abolish slavery in British India.