Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

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. $T> T_0$)

Options:

$ρ_T=ρ_0[1 + α(T-T_0)]$

$ρ_0=ρ_T[1 + α(T_0-T)]$

$ρ_T=ρ_0[1 + α(1-T_0)]$

$ρ_T=[ρ_0+α(T-T_0)]$

Correct Answer:

$ρ_T=ρ_0[1 + α(T-T_0)]$

Explanation:

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