Yes, you can purchase local SIM cards upon arrival at the airport. (depending at which airport you enter India) There can be SIM providers like Vodafone, Airtel etc. (But at the campus area, Airtel has the best reach.) inside the airport and this would be the quickest and easiest way to get the SIM. You will need a copy of your passport and visa, so make sure to prepare the same before traveling to India. You will be fully responsible for purchase of SIM card, the use of the same and for the costs of phone credit.
