Question

The resistance R of a conductor varies with the temperature as shown in the figure. If it is written as $R_1=R_0(1+\alpha t+\beta t^2)$

• A. $\alpha$ and $\beta$ are both negative
• B. $\alpha$ is positive and $\beta$ is negative
• C. $\alpha$ and $\beta$ are both positive
• D. $\alpha$ is negative and $\beta$ positive

Answer 1

The correct option is C $\alpha$ and $\beta$ are both positive

From graph, the resistance R increases with the increase of temperature. Thus, the constants $\alpha$ and $\beta$ should be positive. As $\frac{d{R}_1}{dt}$ and also $\frac{d^2{R}_1}{dt}$ are positive.Hence correct option is option C.