Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

If the length of a wire is doubled while keeping its material and cross-sectional area same, the resistance of the wire

Options:

becomes double of its initial value

becomes half of its initial value

becomes four times of its initial value

remains same

Correct Answer:

becomes double of its initial value

Explanation:

The correct answer is Option (1) → becomes double of its initial value

Resistance of a wire is given by:

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

If length $L$ is doubled and $\rho, A$ remain the same:

$R_\text{new} = \rho \frac{2L}{A} = 2 \cdot R_\text{initial}$

Resistance becomes double of its initial value