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Resistance

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Question

A student carries out an experiment and plots the V-I graph of three samples of nichrome wire with resistances R₁, R₂ and R₃ respectively. Which of the following is true?

1 (ampere) V (volts)

A

R₁ = R₂ = R₃

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B

R₁ > R₂ > R₃

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C

R₃> R₂> R₁

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D

R₂ > R₃ > R₁

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Solution

The correct option is C
R₃> R₂> R₁

Resistance is given by the slope of V-I graph.
Here the graph is I-V graph.
So, resistance is given by the inverse of the slope.
From the graph, the order of the slope is slope of R₁> slope of R₂> slope of R₃
Therefore order of resistance is R₃> R₂> R₁.
Hence, option (c) is correct.

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