The correct answer is option 2 - Mirat-ul Akhbar.

Option 1, The Calcutta Gazette, was not founded by Raja Rammohan Roy. It was actually the first newspaper published in India, established in 1780 by William Bolts.

Option 3, Harijan, was a newspaper founded by Mahatma Gandhi in 1933, which focused on the issues and rights of the lower castes in India.

Option 4, The Bharat Mihir, was not founded by Raja Rammohan Roy. It was a Hindi newspaper founded by Mahesh Chandra Nyayratna Bhattacharyya in the early 20th century.

Therefore, the correct answer is option 2, Mirat-ul Akhbar, which was indeed a newspaper founded and edited by Raja Rammohan Roy. Mirat-ul Akhbar was a Persian-language newspaper established in 1822 and played a significant role in the social and political reforms initiated by Raja Rammohan Roy during the Bengal Renaissance period.