Answer:
Length, l = 3.57 meters
Explanation:
It is given that,
Area of cross-section of gold wire, [tex]A=1\ cm^2=0.0001\ m^2[/tex]
Resistivity of gold wire, [tex]\rho=2.8\times 10^{-8}\ \Omega-m[/tex]
Resistance, R = 0.001 ohms
Resistance in terms of length and area is given by :
[tex]R=\rho \dfrac{l}{A}[/tex]
[tex]l=\dfrac{RA}{\rho}[/tex]
[tex]l=\dfrac{0.001\times 0.0001}{2.8\times 10^{-8}}[/tex]
l = 3.57 meters
So, the length of the wire is 3.57 meters. Hence, this is the required solution.