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Q.

Two similar spheres having +Q and -Q charge are kept at a certain distance. F force acts between the two. If in the middle of two spheres, another similar sphere having +Q charge is kept, then it experience a force in magnitude and direction as

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a

Zero having no direction

b

8F towards +Q charge

c

8F towards -Q charge

d

4F towards +Q charge

answer is C.

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Detailed Solution

Initially, force between A and C    F=kQ2r2When a similar sphere B having charge +Q is kept at the mid point of line joining A and C, then Net force on B is Fnet=FA+FC=kQ2(r/2)2+kQ2(r/2)2=8kQ2r2=8F(Direction is shown in figure)
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