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Q.

A and B are two identical spherical charged bodies which repel each other with force F, kept at a finite distance apart. A third uncharged sphere of the same size is brought in contact with sphere B and removed. It is then kept at mid-point of A and B. Find the magnitude of force on C :

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a

F/2

b

Zero

c

F

d

F/8

answer is C.

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Detailed Solution

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Force between A and B, $F = \frac{{kq}^{2}}{d^{2}}$

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$F_{c} = \frac{k (q) (\frac{q}{2})}{{(\frac{d}{2})}^{2}} - \frac{k {(\frac{q}{2})}^{2}}{{(\frac{d}{2})}^{2}} = F$

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