The $V-I$ graphs for two resistors of the same material and the same radii with lengths $L_{1}$ and $L_{2}$ are shown below. If $L_{1}>L_{2}$, state with reason, which of these graphs represents voltage-current change for $L_{1}$.

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As $L_{1}>L_{2}$ so $R_{1}>R_{2} .$ Now, slope of graph $B$ is more than that of graph $A$. Therefore, resistance of graph $B$ is more than that of graph

$A.$ Hence, graph $B$ represents voltage-current change for length, greater length for the same area of cross-section. Hence, graph $B$ corresponds to length $L_{1}$.

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