question_answer

The resistance R of a conductor varies with temperature as shown in the given figure. If it is written as, \[{{R}_{t}}={{R}_{0}}(1+t+{{t}^{2}})\]

A)  a and P are both negative               

B)  a is positive but P is negative T     

C)  a and P are both positive         

D)  a is negative but P is positive       

Correct Answer: C

Solution :

 Since the value of \[R\] continuously increases, both \[\alpha \] and \[\beta \] must be positive. Actually the components of the given equation are as follows: If \[\alpha \] is positive \[\beta \] is negative, the components will be as shown: In this case, the value of \[R\] will not increase continuously.