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Question

Two equally charged identical metal spheres A and B repel other with a force of 2×105.Another identical uncharged sphere C is touched to B and then placed at the mid point between A and B.The net electric force on C is.

A
2×105NalongAB
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B
2×105NalongBA
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C
4×105NalongAB
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D
4×105NalongBA
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Solution

The correct option is A 2×105NalongAB
FAB=KQ2r2=2×105
Now,
'C' is touched to 'B' and both are identical so the charge on 'B' will be equally distributed on both 'B' and 'C' i.e,
So,
FAC=K(Q)(Q/2)(r/2)2=2KQ2r2FBC=K(Q/2)(Q/2)(r/2)2=KQ2r2
So, Net force on 'C' is given by
FACFBC2KQ2r2KQ2r2KQ2r2=FAB2×105NalongAB

1198073_1249820_ans_26db9d70bea44761ad710561ab713b67.png

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