Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

The resistance of a cylindrical conductor is:

Options:

inversely proportional to its length

directly proportional to the square of the radius

inversely proportional to the square of the radius

directly proportional to the square root of its length

Correct Answer:

inversely proportional to the square of the radius

Explanation:

The correct answer is Option (3) → inversely proportional to the square of the radius

Resistance of a cylindrical conductor:

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

$A = \pi r^2$

$R = \rho \frac{L}{\pi r^2}$

So, $R \propto \frac{1}{r^2}$

Answer: Inversely proportional to the square of the radius