François Bernier, a French doctor, visited India in the Mughal court, as a physician to :

Dara Shikoh

The correct answer is Option 2 - Dara Shikoh

He was in India for twelve years, from 1656 to 1668, and was closely associated with the Mughal court, as a physician to Prince Dara Shikoh, the eldest son of Emperor Shah Jahan, and later as an intellectual and scientist, with Danishmand Khan, an Armenian noble at the Mughal court.