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Q.

Four objects W, X, Y and Z, each with charge +q are held fixed at four points of a square of side d as shown in the figure. Objects X and Z are on the midpoints of the sides of the square. The electrostatic force exerted by object W on object X is F. Then the magnitude of the force exerted by object W on Z is
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a

F/3

b

F/2

c

F/5

d

F/7

answer is B.

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Detailed Solution

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F=14πε0qqd2214πε0q2d2=F4
Separation between W and Z, d=d2+d22
d=54d2
Force by W on Z
F=14πε0qqd2=14πε0q254d22  from (2) =14πε0q254d2=4514πε0q2d2  from (1) =F5

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