Question

i v graph for a metallic wire x and y are at a constant temperature as shown in the figure assuming that two wires have same length and diameter explain which of this two wires will have higher resistance ​

Answer 1

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 both the wires is same.

Answer 2

The wire that will have higher resistance will be Y. The reason for its high resistance is as follows:

• We know that the slope I/V of the graph represents 1/R.

• As it is visible from the graph that wire Y has a lesser slope and therefore it represents higher resistance.

• Also, the length and diameter of the two wires are the same. Thus by using the relation R=ρ l/A, the resistivity of wire Y will be higher.