Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

The potential difference between two points in a wire 8.0 m apart is 8.0 V when the current density is  4.0 x 107 Am–2.  The resistivity of the material is

 

Options:

$ 2.5 \times 10^{-6}\Omega -m$

$ 2.5 \times 10^{-7}\Omega -m$

$ 2.5 \times 10^{-8}\Omega -m$

$ 2.5 \times 10^{-9}\Omega -m$

Correct Answer:

$ 2.5 \times 10^{-8}\Omega -m$

Explanation:

$ E = \frac{V}{d} = 1 V/m$

$ \rho = \frac{E}{J} = \frac{1}{4\times 10^7} = 2.5\times 10^{-8} \Omega -m$