Goswami made his debut in
Bollywood with his father's 1981 film
Kranti. He played his first leading role in the 1983 films Ghungroo and
Kalakaar. In
Kalakaar Sridevi was his co-star and the hit song
Neele Neele Ambar Par was picturized on him. He starred in several other films such as
Do Gulab (1983),
Ricky (1986),
Aakhri Baazi (1989) and
Paap Ki Kamaee (1990). After the release of
Numbri Aadmi and
Vishkanya in 1991, he took a hiatus from acting for several years. He tried to revive his career in the 1999 film
Jai Hind which was directed by his father. In 2000, Goswami also acted in the television serial
Alag Alag which was telecast on
DD National. ==Personal life==