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Q.

Match the column for electric field given in COLUMN-II for the uniformly charged bodies in COLUMN-I.

COLUMN-ICOLUMN-II

A) Hollow hemisphere, at its centre

Question Image 

p) λ22πε0x

B) Solid hemisphere, at its centre

Question Image  

q)  Q8πε0R2

C) On the axis of ring, near its centre

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r)   3Q8πε0R2

D) Semi-infinite wire

Question Image 

s)  λx2ε0R2(13x22R2)

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a

a→s, b→p, c→r, d→q

b

a→p, b→r, c→q, d→s

c

a→q, b→r, c→s, d→p

d

a→r, b→p, c→s, d→q

answer is D.

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Detailed Solution

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For hemispherical shell, E at centre is  E=Q8πε0R2
So,  A(q)
For hemispherical sphere,  E=3Q8πε0R2
So,  B(r)
For ring at a point near its axis (x <<R), we get 
 E=λx2ε0R2(13x22R2)
So,  C(s)
For semi-infinite wire, E at the given point is
 E=λ22πε0x
So,  D(p)

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