Question

The electrical resistivity of a thin copper wire and a thick copper rod are respectively ${\rho }_1\Omega m$ and ${\rho }_2\Omega m$. Then :

• A. ${\rho }_1>{\rho }_2$
• B. ${\rho }_2>{\rho }_1$
• C. ${\rho }_1={\rho }_2$
• D. $\frac{{\rho }_2}{{\rho }_1}=\infty$

Answer 1

Answer: (C)

${\rho }_1={\rho }_2$

The resistivity is depends on the property of the material. It does not depend on the structure of the material. As the both wire is made of same material, copper so the resistivity will be same for both wire.

Thus, ${\rho }_1={\rho }_2$