The variation of resistivity of a metallic conductor with temperature is given correctly by which of the following relations? (Where $ρ_T$ is the resistivity at a temperature T and $ρ_0$ is the resistivity at a reference temperature $T_0$. $α$ is the temperature coefficient of resistivity. $T> T_0$) |
$ρ_T=ρ_0[1 + α(T-T_0)]$ $ρ_0=ρ_T[1 + α(T_0-T)]$ $ρ_T=ρ_0[1 + α(1-T_0)]$ $ρ_T=[ρ_0+α(T-T_0)]$ |
$ρ_T=ρ_0[1 + α(T-T_0)]$ |
The correct answer is Option (1) → $ρ_T=ρ_0[1 + α(T-T_0)]$ The correct relation is: $\rho_T = \rho_0 \big[1 + \alpha (T - T_0)\big]$ where $\rho_T =$ resistivity at temperature $T$ $\rho_0 =$ resistivity at reference temperature $T_0$ $\alpha =$ temperature coefficient of resistivity |