The resistance Rt of a conductor varies with temperature t as shown in the figure. If the variation is represented by Rt=R0[1+α t+β t2], then-

Question

The resistance Rt of a conductor varies with temperature t as shown in the figure. If the variation is represented by Rt=R0[1+α t+β t2], then- (A) α and β are both negative (B) α and β are both positive (C) α is positive and β is negative (D) α is negative and β are positive

Tardigrade Admin · Accepted Answer

Since the value of R continuously increases, both α and β must be positive.

Q. The resistance $R_{t}$ of a conductor varies with temperature $t$ as shown in the figure. If the variation is represented by
$R_{t} = R_{0} [1 + α t + β t^{2}]$ , then-

$α$ and $β$ are both negative

$α$ and $β$ are both positive

$α$ is positive and $β$ is negative

$α$ is negative and $β$ are positive

Since the value of $R$ continuously increases, both $α$ and $β$ must be positive.

Q. The resistance Rt​ of a conductor varies with temperature t as shown in the figure. If the variation is represented by Rt​=R0​[1+αt+βt2], then-

α and β are both negative

α and β are both positive

α is positive and β is negative

α is negative and β are positive