Final answer:
Maharaja Ranjit Singh's wife who bore Kharak Singh in 1802 was Rani Raj Kaur. Ranjit Singh was the founder of the Sikh Empire, and Kharak Singh succeeded him.
Step-by-step explanation:
The wife of Maharaja Ranjit Singh who gave birth to Kharak Singh in 1802 was Rani Raj Kaur. Maharaja Ranjit Singh, also known as the Lion of Punjab, was the founder of the Sikh Empire, which ruled the northwest Indian subcontinent in the early half of the 19th century. His marriage to Rani Raj Kaur was one of the many alliances he formed, and their son, Kharak Singh, went on to succeed him as the Maharaja of the Sikh Empire. Maharaja Ranjit Singh's wife who bore Kharak Singh in 1802 was Rani Raj Kaur. Ranjit Singh was the founder of the Sikh Empire, and Kharak Singh succeeded him.