Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

Match List-I with List-II

List-I (Quantity)

List-II (Variation with distance)

(A) Electric field due to a point charge

(I) Inversely proportional to the cube of the distance

(B) Electric potential due to a point charge

(II) Inversely proportional to the square of the distance

(C) Electric field due to uniformly charged infinite plane sheet

(III) Inversely proportional to the distance

(D) Electric field due to an electric dipole

(IV) Independent of the distance

Choose the correct answer from the options given below:

Options:

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

(A)-(II), (B)-(III), (C)-(IV), (D)-(I)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Correct Answer:

(A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Explanation:

The correct answer is Option (3) → (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Matching List-I (Physical Quantities) with List-II (Distance Dependence):

(A) Electric field due to a point charge:

$E = \frac{1}{4\pi\varepsilon_0} \cdot \frac{q}{r^2} \Rightarrow$ Inversely proportional to the square of the distance → (II)

(B) Electric potential due to a point charge:

$V = \frac{1}{4\pi\varepsilon_0} \cdot \frac{q}{r} \Rightarrow$ Inversely proportional to the distance → (III)

(C) Electric field due to uniformly charged infinite plane sheet:

$E = \frac{\sigma}{2\varepsilon_0} \Rightarrow$ Independent of distance → (IV)

(D) Electric field due to an electric dipole:

$E = \frac{1}{4\pi\varepsilon_0} \cdot \frac{p}{r^3} \Rightarrow$ Inversely proportional to the cube of the distance → (I)