Question

A student carries out experiment and plot V-I graph of 3 samples of Nichrome wire with resistances R1, R2, R3 respectively. Which of the following is true?
(a) R1=R2=R3
(b) R1 greater than R2 greater than R3
(c) R3 greater than R2 greater than R1
(d) R2 greater than R3 greater than R1

Answer 1

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Explanation:

CORRECT OPTION IS C

Since the slope of the above graph is inversely proportional to the resistance. As in the graph, slope of R1 is maximum, so resistance will be minimum. Similarly Slope of R3 is minimum, so it will have maximum resistance.

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Answer 2

R₃ greater than R₂ greater than R₁.

Explanation:

• The mathematical form of Ohm's law is given by :

$V=I\times R$

We can write as :

$\dfrac{I}{V}=\dfrac{1}{R}$ .......(1)

I is current, R is reistance and V is voltage

• The attached shows a IV graph in which I is in x axis and V is in y axis. The slope of graph is givn by :

$m=\dfrac{I}{V}$ .......(2)

From equation (1) and (2) we get :

• The slope of R₁ is greater. It means the value of its ressistance is less.
• The slope of R₃ is less. It means that the value of its resistance is more.

As a reuslt,

$R_3> R_2>R_1$

Hence, the correct option is (c).

Learn more,

Ohm's law

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