Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

A wire 250 cm long and $1 mm^2$ in cross-section carries a current of 4 A when connected to a 2 V battery. The resistivity of the wire is

Options:

$0.2 \times 10^{-6}\Omega-m$

$0.2 \times 10^{-7}\Omega-m$

$5\times 10^{-6}\Omega-m$

$4 \times 10^{-6}\Omega-m$

Correct Answer:

$0.2 \times 10^{-6}\Omega-m$

Explanation:

$ R = \frac{V}{I} = 0.5 \Omega$

$ R = \frac{\rho l}{A} $

$\Rightarrow \rho = \frac{RA}{l} = 0.2\times 10^{-6} \Omega-m$