The electric field E is measured at a point P0,0,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.
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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 is B.
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Detailed Solution
(i) E=KQd2⇒E∝1d2 (ii) dipole E=2kpd31+3cos2θ ⇒E∝1d3 (iii) for line charge E=2kλd ⇒E∝1d (iv) E=2Kλd−l−2Kλd+l ⇒E=2Kld+l−d+ld2−l2=2Kld2−l2 ⇒E∝1d2 (V) Electric filed due to sheet E=σ2∈0 E is independent of d