Answer :
Final answer:
The resistance of a copper wire increases with temperature due to the atoms in the wire vibrating more at higher temperatures, which impedes the flow of electrons. So, none of the given option is correct answer.
Explanation:
The student's question pertains to the effect of temperature on the resistance of a copper wire. The resistance of conductive materials such as copper and iron changes with temperature. For conductive materials, the resistance increases with the temperature, explained by the fact that as temperature increases, the atoms in the wire vibrate more, impeding the flow of electrons, thereby increasing resistance.
To calculate the change in resistance with temperature, we use the formula R = R0(1 + α(T - T0)), where R is the resistance at temperature T, R0 is the original resistance at reference temperature T0, and α is the temperature coefficient of resistivity for the material. For copper, α is typically around 0.004041 per degree Celsius (°C).
Without the specific temperature coefficient of resistivity and a temperature change value, we cannot provide an exact mathematical response to how much the resistance of a copper wire will increase when the temperature is raised to 25°C, 30°C, 35°C, or 40°C. However, we can confirm that for each degree Celsius increase in temperature, the resistance of a copper wire will increase slightly due to the temperature coefficient of resistivity.
