Answer:
The resistivity of the wire is [tex]1.05\times 10^{-6}\ \Omega-m[/tex]
Explanation:
We have,
Length of a wire is 40 cm or 0.4 m
Diameter of a wire is 0.60 mm
Radius is 0.3 mm or 0.0003 m
Resistance of a wire is 1.5 ohm
Now we need to find the resistivity of the material of which it is made. The resistance of a wire in terms of its resistance, length and area is given by :
[tex]R=\rho \dfrac{l}{A}[/tex]
[tex]\rho[/tex] = resistivity
[tex]\rho=R \dfrac{\pi r^2}{l}\\\\\rho=1.5\times \dfrac{3.14\times (0.0003 )^2}{0.4}\\\\\rho=1.05\times 10^{-6}\ \Omega-m[/tex]
So, the resistivity of the wire is [tex]1.05\times 10^{-6}\ \Omega-m[/tex].
