Explanation
$$\textbf{Given : }$$ $$R_{100} = 100\Omega$$ ,$$T_1 = 100^oC$$ ,$$R' = 200\Omega$$ , $$\alpha = 0.005$$ per $$^oC$$
$$\textbf{Step 1: Relation between resistance and temperature }$$
$$R = R_{0}(1+\alpha (T_2-T_1))$$
where $$\alpha$$ is the temperature coefficient of resistance.
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