Question

Plot graph showing variation of resistance of a conducting wire as a function of its radius, keeping the length of wire and its temperature as constant

Answer 1

Here is ur answer.... Plz mark as brainliest if it helps

Answer 2

Answer:

The plot has been attached as an image.

Explanation:

Let us assume the following:

R = resistance of the wire

r = radius of cross-section of the wire

A = area of cross-section of the wire = $\pi r^2$

L = length of the wire

We know the relation between the resistance, length, area of cross-section and the resistivity of the wire as follow:

$R = \dfrac{\rho L}{A}\\\Rightarrow R = \dfrac{\rho L}{\pi r^2}\\\Rightarrow R = \dfrac{\rho L}{\pi }\dfrac{1}{r^2}\\\Rightarrow R = \dfrac{k}{r^2}\ k=\dfrac{\rho L}{\pi } = constant\\\Rightarrow R = \dfrac{k}{r^2}$

Now, the graph for the above has been draw as given.