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Q.

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
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