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V-I graph for the metallic wires X and Y at constant temperature are as shown in figure:

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V-I graph for the metallic wires X and Y at constant temperature  are as shown in figure: 
Assuming that the two wires have same length and same diameter, explain as to which of the two wires has higher resistivity and why?

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The slope I/V of the graph represents 1/R. Since the graph marked Y has a lesser slope, it represents higher resistance.
Since the length and diameter of the two wires same, using the relation R=ρ l/A the resistivity of wire Y will be higher.

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