Step 1: Understanding the concept.
The electrical resistance of most metals increases as the temperature increases. This is because, at higher temperatures, the metal atoms vibrate more, causing increased collisions between free electrons and the atoms, which in turn increases the resistance.
Step 2: Analyzing the options.
(1) Increases with increase in temperature: Correct. As the temperature increases, the atoms in the metal vibrate more, increasing resistance.
(2) Is independent of temperature: This is incorrect. The resistance of metals is temperature dependent.
(3) Decreases with increase in temperature: This is incorrect. Resistance generally increases with temperature in metals.
(4) None of the above: This is incorrect, as option (1) is correct.
Step 3: Conclusion.
The correct answer is (1) Increases with increase in temperature, as the electrical resistance of metals increases with temperature.