The current voltage (I – V) graphs for a given metallic wire at two different temperatures T 1 and T 2 are shown in figure. If follows from the graphs that Options: A . &nbsp T 1 > T 2 B . &nbsp T 1 < T 2 C . &nbsp T 1 = T 2 D . &nbsp T 1 is greater or less than T 2 depending on whether the resistance R of the wire is greater or less than the ratio V / I

The current voltage (I – V) graphs for a given metallic wire at two different

Discussion Forum : Current Electricity

Question -

The current voltage (I – V) graphs for a given metallic wire at two different temperatures $T_{1}$ and $T_{2}$ are shown in figure. If follows from the graphs that

Options:

A .

T_{1} > T_{2}

B .

T_{1} < T_{2}

C .

T_{1} = T_{2}

D .

T_{1}

is greater or less than

T_{2}

depending on whether the resistance R of the wire is greater or less than the ratio

V / I

Answer: Option B
:
B

It is clear from figure that at a given voltage $V_{0}$ the current $I_{1}$ in the wire at temperature $T_{1}$ is greater than the current $I_{2}$ in the wire at temperature $T_{2}$ , Therefore the resistance of the wire at temperature $T_{1}$ is less than that of temperature $T_{2}$ . This can happen if $T_{1}$ is less than $T_{2}$ because the resistance of wire increases with increase in temperature

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