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Question:
Two identical metallic spheres having charges + 4q and - 2q are placed with their centres r distance apart. Force of attraction between the spheres is F. If the two spheres are brought in contact and then placed at the same distance r apart, the force between them
Answer:

Let initial separation between charges be r, so initial force will be : Now, when the spheres are touched, the new charge in each sphere will be average value = [4+ (-2)]q/2 = 2q/2 = 1q So, new force is : Multiply numerator and denominator by 8.

then force will beocme F/8

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