The current $v s$ voltage graphs for a given metallic wires at two different temperatures $T_{1}$ and $T_{2}$ . Which one of the following conditions is correct?

T_{2} > T_{1}

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T_{1} > T_{2}

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T_{1} \leq T_{2}

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None of the above.

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Solution

The correct option is B $T_{1} > T_{2}$
From the graph, $Slope = tan θ = \frac{Δ I}{Δ V} = \frac{1}{R}$

$\Rightarrow Slope \propto \frac{1}{R} \propto \frac{1}{T}$

On observing the given graph, $tan θ_{2} > tan θ_{1}$

Thus, $R_{2} < R_{1} \Rightarrow T_{1} > T_{2}$

Hence, option (b) is the correct answer.

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The current vs voltage graphs for a given metallic wires at two different temperatures T1 and T2. Which one of the following conditions is correct?

The correct option is B T1>T2From the graph, Slope=tan θ=ΔIΔV=1R ⇒Slope ∝ 1R ∝ 1T On observing the given graph, tan θ2>tan θ1 Thus, R2<R1⇒T1>T2 Hence, option (b) is the correct answer.

The current $v s$ voltage graphs for a given metallic wires at two different temperatures $T_{1}$ and $T_{2}$ . Which one of the following conditions is correct?