Explanation:

- Correct Option: 1. Actress

- Vidya Sinha was a renowned Indian actress known for her work in Bollywood during the 1970s and 1980s. She gained fame for her roles in films like "Rajnigandha," "Chhoti Si Baat," and "Pati Patni Aur Woh."

- Option 2: Politician

- Vidya Sinha was not involved in politics. This option is incorrect in relation to her career.

- Option 3: Singer

- Vidya Sinha was not known for a career in singing. She primarily gained recognition for her acting work.

- Option 4: Doctor

- She did not have a career in the medical field. This option does not relate to her profession.

- Option 5: Judge

- Vidya Sinha was not associated with a legal career or judiciary duties. This option is incorrect regarding her professional life.