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Q.

Two equally charged identical metal spheres A and B repel each other with a force F. Another identical uncharged sphere C is touched to A and then placed midway between A and B. The net force on C is in the direction

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a

F towards B

b

2F towards B

c

2F towards A

d

F towards A

answer is A.

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Detailed Solution

F=14πε0q1q2r2

When the uncharged sphere touches A, q/2 charge gets transferred to C
Now, force on C,

=k(q/2)(q/2)(r/2)2-k(q/2)(q)(r/2)2=kq2/r2-2kq/  2r2=-F

Net force is thus towards A.

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