Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5

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.

LIST-ILIST-II
P) E is independent of d1) A point charge Q at the origin
Q)  E1d2) A small dipole with point charges Q at 0,0,l and -  0,0,l  Take  2l<<d
R)  E1d23) An infinite line charge coincident with the x-axis,  with uniform linear charge density λ 
S)  E1d34) 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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

P → 5; Q → 3; R → 1, 2; S → 4

b

P → 5; Q → 3, 4; R → 1; S → 2

c

P → 4; Q → 2, 3; R → 1; S → 5

d

P → 5; Q → 3; R → 1, 4; S → 2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

(i) E=KQd2

E1d2                                                           

(ii) dipole
 E=2kpd31+3cos2θ                                                        

 E1d3   
(iii) for line charge  E=2kλd                                                

 E1d  
(iv)  E=2Kλdl2Kλd+l                                                          

E=2Kld+ld+ld2l2=2Kld2l2  
E1d2   
(V) Electric filed due to sheet                                             

  E=σ20                       

 E is independent of d
 

Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon