A) independent of temperature
B) increases as the temperature rises
C) decreases as the temperature rises
D) increases or decreases as temperature rises depending upon the metal
Correct Answer: B
Solution :
The resistance of a metallic wire at temperature \[t\,{}^\circ C\]is given by \[{{R}_{t}}={{R}_{0}}(1+\alpha t)\] where \[\alpha \] is coefficient of expansion. Hence, resistance of wire increases on increasing the temperature. Also, from Ohms law, ratio of \[\frac{V}{i}\] is equal to\[R\]i.e., \[\frac{V}{i}=R\] Hence, on increasing the temperature the ratio \[\frac{V}{i}\]increases.
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