Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

Which of the following statements are correct?

(A) The resistance of a conductor and its resistivity both depend on temperature.
(B) For a conductor of $1 m$ length and of $1 m^2$ cross-sectional area, the resistance is equal to its resistivity
(C) Resistance and resistivity both depend on cross-sectional area
(D) The resistivity of two wires made of same material but of different dimensions is the same.

Choose the correct answer from the options given below:

Options:

(A), (B) and (D) only

(A), (D) and (C) only

(B), (D) and (C) only

(A) and (C) only

Correct Answer:

(A), (B) and (D) only

Explanation:

The correct answer is Option (1) → (A), (B) and (D) only

(A) True — Resistance $R = \rho \frac{L}{A}$ and resistivity $\rho$ both vary with temperature.

(B) True — For $L = 1\,m$ and $A = 1\,m^2$, $R = \rho \frac{L}{A} = \rho$.

(C) False — Resistance depends on cross-sectional area, but resistivity does not.

(D) True — Resistivity depends only on material, not on dimensions.

Correct Statements: (A), (B), (D)