At room temperature \((27~^\circ \text{C})\) the resistance of a heating element is \(100~\Omega.\) What is the temperature of the element if the resistance is found to be \(117~\Omega?\)
(Given that the temperature coefficient of the material of the resistor is \(1.70\times 10^{-4}~^{\circ}\text{C}^{-1}\))
1. \(1027~^{\circ}\text{C}\)
2. \(1007~^{\circ}\text{C}\)
3. \(1020~^{\circ}\text{C}\)
4. \(1127~^{\circ}\text{C}\)