Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

A resistance of 2Ω is to be made from a copper wire (specific resistance $1.7 × 10^{-8}Ω m$) using a wire of length 50 cm. The radius of the wire is

Options:

0.0116 mm

0.0367 mm

0.116 mm

0.367 mm

Correct Answer:

0.0367 mm

Explanation:

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

$ A = \frac{\rho l}{R} = \frac{1.7\times 10^{-8}\times 0.5}{2} = \pi r^2$

$\Rightarrow r = 0.0367mm$