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JEE Main 2025 Jan 29 Shift 1, Physics Q18: Gauss's Law

JEE Main2025Jan 29, Shift 1Physics
Q.

Match List-I with List-II.

List-IList-II
(A) Electric field inside (distance from center) of a uniformly charged spherical shell with surface charge density , and radius (I)
(B) Electric field at distance from a uniformly charged infinite plane sheet with surface charge density (II)
(C) Electric field outside (distance from center) of a uniformly charged spherical shell with surface charge density , and radius (III)
(D) Electric field between oppositely charged infinite plane parallel sheets with uniform surface charge density (IV)

Choose the correct answer from the options given below :

  1. A

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

  2. B

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

  3. C

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

  4. D

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

Solution

Apply Gauss's law to each configuration:

(A) Inside a uniformly charged spherical shell: enclosed charge is zero, so Match: (III).

(B) Infinite plane sheet: , independent of distance. Match: (II).

(C) Outside a spherical shell: it looks like a point charge at the centre, giving Match: (IV).

(D) Between two oppositely charged parallel sheets: the fields add to give Match: (I).

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

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