Q. What length of the wire of specific resistance $48 \times 10^{- 8}\Omega\ m$ is needed to make a resistance of $4.2\ \Omega$ (diameter of wire $= 0.4\ mm$)

A) $4.1\ m$
B) $3.1\ m$
C) $2.1\ m$
D) $1.1\ m$
Explanation

(d) $l = \frac{R\pi r^{2}}{\rho} = \frac{4.2 \times 3.14 \times \left( 0.2 \times 10^{- 3} \right)^{2}}{48 \times 10^{- 8}} = 1.1m$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.