Answer:
The length of the copper wire is 50.02 meters.
Explanation:
It is given that,
Density of the copper wire, \(d=8.96\ g/cm^3=8960\ kg/m^3\)
Diameter of copper wire, d = 0.25 mm = 0.00025 m
Radius of the copper wire, r = 0.000125 m
Mass of the copper, m = 22 g = 0.022 kg
We need to find the length of the wire. Let l is the length of the wire. The density of a copper wire is given by :
\(d=\dfrac{m}{V}\)
V is the volume of copper wire
\(d=\dfrac{m}{\pi r^2h}\)
\(h=\dfrac{m}{d\pi r^2}\)
\(h=\dfrac{0.022\ kg}{8960\ kg/m^3\times \pi (0.000125\ m)^2}\)
h = 50.02 m
So, the length of the wire is 50.02 meters. Hence, this is the required solution.
