The correct answer is option 1: INS Arihant.

INS Arihant is India`s first indigenously built nuclear-powered submarine. This submarine was developed under the Advanced Technology Vessel project, also known as the ATV project. It was launched in 2009 and commissioned into the Indian Navy in 2016.

On the other hand, option 2, INS Sindhurakshak, is a diesel-electric submarine that was in service with the Indian Navy. It was commissioned in 1997 but unfortunately sank in 2013 due to an explosion and fire.

Option 3, INS Viraat, is an aircraft carrier that was in service with the Indian Navy. It was a centaur-class aircraft carrier that was originally built for the British Royal Navy. It was decommissioned in 2017.

Option 4, INS Vikramaditya, is also an aircraft carrier. It is a modified Kiev-class carrier that was originally built for the Soviet Navy. It was commissioned into the Indian Navy in 2013.

Therefore, the correct answer is option 1, INS Arihant, as it is India`s first indigenously built nuclear-powered submarine.