The correct answer is option 3: material of the wire only but neither on the length of the wire nor on the area of cross-section of the wire.
The specific resistance of a conducting wire, also known as resistivity, primarily depends on the material of the wire. Each material has its own unique resistivity, which determines how well it can conduct electricity. Some materials have a lower resistivity, meaning they are better conductors, while others have a higher resistivity, meaning they are poorer conductors.
The length of the wire and the area of cross-section do have an effect on the resistance of the wire, but they do not determine the specific resistance. The length of the wire affects the overall resistance, with longer wires generally having higher resistance. The area of cross-section affects the resistance as well, with larger cross-sectional areas allowing for better conduction and lower resistance.
However, neither the length nor the area of cross-section affect the specific resistance, which is solely determined by the material. Therefore, option 3 is the correct answer.