Q. The resistance $R_{t}$ of a conductor varies with temperature $t$ as shown in the figure. If the variation is represented by $R_{t} = R_{0}\left\lbrack 1 + \alpha t + \beta t^{2} \right\rbrack,$ then
A) $\alpha$ and $\beta$ are both negative
B) $\alpha$ and $\beta$ are both positive
C) $\alpha$ is positive and $\beta$ is negative
D) $\alpha$ is negative and $\beta$ are positive
Explanation
(b) Since the value of $R$ continuously increases, both $\alpha$ and $\beta$ must be positive.
Actually the components of the given equation are as follows
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.