Who is the first governor general in india
Since you have asked a question in which there are ambiguities. So I would like to mention few names which may be relevant according to your question.
First governor general of Bengal and fort william - Warren Hastings
First governor general of British India- William Bentick
First governer general of independent India- Lord Mount Batten
First Indian to be governor general-C. Rajagopalachari (last one after him post was abolished)