\\\\(\ extbf{Step 1: Applying Relation between Temperature and Resistance}\\\\) \\\\(R = R_0(1+\\alpha (T_2 - T_1))\\\\)Given Initial resistance at \\\\(300K\\\\) is \\\\(1\\Omega\\\\).Let temperature be T when final resistance becomes \\\\(2\\Omega\\\\) \\\\(\\Rightarrow\\ \\ 2\\Omega = 1\\Omega(1+ 0.00125 (T-300 K))\\\\) \\\\(\\Rightarrow \\ \\ 1 = \\cfrac{5}{4} \ imes 10^{-3}(T-300K)\\\\) \\\\(\ herefore\\ \\ \\ T = 1100K\\\\)Hence correct Option is A