The correct choice is 1,000-1,040 years; Carbon-14; because wood was once living.
Explanation:
- Carbon-14 dating is used for dating organic materials that were once living, such as wood, bones, and other biological tissues. It is effective for dating materials that are less than about 50,000 years old.
- Uranium-238 dating is typically used for dating geological formations and inorganic materials that are millions of years old, such as rocks and minerals, not suitable for organic materials like wood.
Since the cup is made of wood, Carbon-14 dating is the appropriate method to determine its age.