Question

The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the
dependence of E on d is found to be different for different charge distributions. List-I contains different
relations between E and d. List-II describes different electric charge distributions, along with their
locations. Match the functions in List-I with the related charge distributions in List-II.
LIST–I LIST–II
P. E is independent of d 1. A point charge Q at the origin
Q. E ∝ 1/d
2. A small dipole with point charges Q at (0, 0,- ℓ)
and -Q at (0, 0, -ℓ). Take 2ℓ ≪ d
R. E ∝ 1/d²
3. An infinite line charge coincident with the x-axis,
with uniform linear charge density λ
S. E ∝ 1/d³
4. Two infinite wires carrying uniform linear charge
density parallel to the x- axis. The one along
(y = 0, z = ℓ) has a charge density +λ and the one
along (y = 0, z =-ℓ) has a charge density -λ.
Take 2ℓ << d
5. Infinite plane charge coincident with the xy-plane
with uniform surface charge density
(A) P → 5; Q → 3, 4; R → 1; S → 2
(B) P → 5; Q → 3; R → 1, 4; S → 2
(C) P → 5; Q → 3; R → 1, 2; S → 4
(D) P → 4; Q → 2, 3; R → 1; S → 5

Answer 1

Answer:

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