1.

The voltage-current variations of two metallic wire X and Y at constant temperature is shown in fig. Assuming that the wires have the same length and the same diameter, explain which of the two wires will have larger resistivity.

Answer» Slope of I - V line for a wire represents the coductance of the wire. From graph.
Slope of I - V line for wire X gt slope of I - V line for wire Y.
`:.` Conductance of wire X gt conductance of wire Y.
As resistance `=1/"conductance"`, so
Resistance of wire X lt resistance of wire Y.
`rho X l/A lt rho Y l/A or rho X lt rho Y`
Thus, wire Y has larger resistivity.


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