JEE Advanced | 2018ElectrostaticsHard

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 indpendent of d 1. A point charge Q at the origin
Q. E1d 2. A small dipole with point charges Q at
(0,0,ι) and – Q at (0,0, – ι).
Take 2ι << d
R. E1d2 3. An infinite line charge coincident with the
x-axis, with uniform linear charge density λ
S. E1d3 4. Two infinite wires carrying uniform linear
Charge density parallel to the x - axis. The
one along (y = 0, z = ι) has a charge density
λ and the one along (y = 0, z = –ι ) has a charge
density – λ. Take 2 ι<< d
 
  5. Infinite plane charge coincident with the xy-plane
with uniform surface charge density



 

Options

A.

P5 ; Q3, 4 ; R 1 ; S2

 

B.

P5 ; Q3, ; R1,4 ; S2

 

C.

P5 ; Q3, ; R1,2 ; S4

 

D.

P4 ; Q2, 3 ; R1 ; S5

 

Solution

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