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Q.

Three identical spheres A, B and C of radius r and each carrying charge q are placed on the vertices of an equilateral triangle of side ll>>r The resultant force on B is F.   Now an uncharged identical sphere is first touched with A and then with B and then removed.  Now the resultant force on B is:

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a

F

b

218F

c

387F

d

274F

answer is B.

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Detailed Solution

F=F02+F02+2F0F0cos600=3F0=3Kq2l2Charges on the sphere after removal of sphereF'=Kq2l2382+342+3834=378Kq2l2=378×F3=218F
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