Resistance of the wire is measured as $2\,\Omega$ and $3\,\Omega$ at $10^{\circ}C$ and $30^{\circ}C$ respectively. Temperature cocoefficient of resistance of the material of the wire is............$^{\circ}C ^{-1}$
JEE MAIN 2022, Medium
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$R = R _{0}(1+\alpha \Delta T )$
$3= R _{0}(1+\alpha(30-0))$
$2= R _{0}(1+\alpha(10-0))$
$\frac{3}{2}=\frac{1+30 \alpha}{1+10 \alpha}$
$\alpha=\frac{1}{30}=0.033$
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