Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

A wire is stretched to increase its length by 4 times. The resistance of the wire will:

Options:

decrease by 4 times

increase by 4 times

increase by 8 times

increase by 16 times

Correct Answer:

increase by 16 times

Explanation:

The correct answer is Option (4) → increase by 16 times

The resistance (R) is

$R=ρ\frac{L}{A}$

$R'=ρ\frac{4L}{A/4}=16ρ\frac{L}{A}$

$\frac{R}{R'}=\frac{1}{16}$