• # question_answer STATEMENT - 1 The temperature dependence of resistance is usually given as$R={{R}_{0}}(1+\alpha \,\,\Delta t)$. The resistance of a wire changes from$100\,\Omega$to $150\,\Omega$ when its temperature is increased from$27{}^\text{o}C$to$227{}^\text{o}C.$ This implies that$\alpha =2.5$$\times {{10}^{3}}/{}^\text{o}C.$ STATEMENT - 2 $R={{R}_{0}}(1+\alpha \text{ }\Delta t)$is valid only when the change in the temperature DT is small and$\Delta R=(R{{R}_{0}})<<{{R}_{0}}.$     AIEEE  Solved  Paper-2009 A) Statement - 1 is True, Statement - 2 is False.B) Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1.C) Statement - 1 is True, Statement - 2 is True; Statement - 2 is not the correct explanation for Statement - 1.D) Statement - 1 is False, Statement - 2 is True.

${{R}_{0}}$is the resistance at$0{}^\text{o}C.$ Directions: Question numbers 12 and 13 are based on the following paragraph. A current loop ABCD is held fixed on the plane of the paper as shown in the figure. The arcs BC (radius = b) and DA (radius = a) of the loop are joined by two straight wires AB and CD. A steady current I is flowing in the loop. Angle made by AB and CD at the origin O is$30{}^\text{o}.$ Another straight thin wire with steady current${{I}_{1}}$flowing out of the plane of the paper is kept at the origin.