Sonam stars in an upcoming biopic "Neerja", the story of a young flight attendant, who was shot dead by terrorists while trying to save the lives of passengers on a hijacked flight.
The movie aims to inspire youth to be fearless and when asked what's her biggest fear, Sonam said, "I have a lot of fears but the biggest is not to live up to my father's name. Everybody reminds me of this every day. I face this fear every day. People say, 'Oh she is Anil Kapoor's daughter. Is she?'
Sonam, 30, also recalled a conversation with actor Dhanush, her co-star in "Raanjhanaa", about the same and that affected her deeply.
"One day I sat down with Dhanush, who is a very close friend of mine. I heard something and it stayed with me for a very long time. The saying was that 'not much grows under a banyan tree,' he said.
"Neerja", also starring Shabana Azmi, is directed by Ram Madhavani. It will release this Friday, February 19.