Option 1: Satyajit Ray. Satyajit Ray was not the author of the autobiography Aamar Katha. He was a renowned Indian filmmaker and author, but his works were primarily in the field of filmmaking, and he did not write this particular autobiography.

Option 2: Rassundari Devi. Rassundari Devi was an Indian Bengali woman who wrote her autobiography Aamar Katha in 1913. She is known as one of the first women writers in the Bengali language and her autobiography provides insights into the lives of women during that time.

Option 3: Ganesh Chandra Ghosh. Ganesh Chandra Ghosh was not the author of Aamar Katha. There is no known relation between Ghosh and the autobiography.

Option 4: Binodini Dasi. The correct answer is option 4. Binodini Dasi, also known as Notee Binodini, was a famous Bengali actress and playwright. She wrote her autobiography Aamar Katha, which was published in 1913. In her book, she documents her life in the theater industry and her personal experiences.