Explanation:

- Correct Answer: Option 1 - Chess

- Dronavalli Harika is an acclaimed Indian chess player renowned for her achievements in the sport. She has represented India in various international chess competitions and has been a significant contributor to India's presence in the global chess community.

- Option 2 - Badminton

- This option is incorrect. Dronavalli Harika is not associated with badminton. Indian badminton players like P.V. Sindhu and Saina Nehwal are more widely recognized in this sport.

- Option 3 - Archery

- This option is incorrect. Indian archers like Deepika Kumari have made significant contributions to archery, but Dronavalli Harika is not linked to this sport.

- Option 4 - Cricket

- This option is incorrect. Dronavalli Harika has no connection with cricket. This sport is more famously associated with personalities like Sachin Tendulkar and Virat Kohli in India.