$A$ heating element has a resistance of $100\,\Omega$ at room temperature. When it is connected to a supply of $220\,V$,a steady current of $2\,A$ passes through it and the temperature is $500\,^{\circ}C$ higher than room temperature. What is the temperature coefficient of resistance of the heating element?
- A$1 \times 10^{-4}\,^{\circ}C^{-1}$
- B$5 \times 10^{-4}\,^{\circ}C^{-1}$
- C$2 \times 10^{-4}\,^{\circ}C^{-1}$
- D$0.5 \times 10^{-4}\,^{\circ}C^{-1}$
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