Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

A wire of resistance 5Ω is drawn out so that its length is increased by thrice its original length. The new resistance would be:

Options:

10 Ω

20 Ω

40 Ω

45 Ω

Correct Answer:

45 Ω

Explanation:

The correct answer is Option (4) → 45 Ω

The resistance of a wire is -

$R=ρ\frac{L}{A}=5Ω$ [Given]

$L'=3L$ and $A'=A/3$

$R'=ρ\frac{3L}{A/3}=9\frac{ρL}{A}=9×5=45 Ω$