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Two spherical conductor \( B \) and \( C \) having equal radii and carrying equal charges in them repel each other with a force \( F \) when kept apart at some distance. A third spherical conductor having same radius as that of \( B \) but uncharged brought in contact with \( \mathrm{B} \), then brought in contact with \( \mathrm{C} \) and finally removed away from both. The new force of repulsion, between \( B \) and \( C \) is
(A) \( F / 4 \)
(B) \( 3 F / 4 \)
(C) \( F / 8 \)
(D) \( 3 F / 8 \)
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