In the two cases, two identical conducting spheres are given equal charges. In one case same type of charges are given whereas in another case of opposite type. The distance between the spheres is not large compared to the diameter. Let $F_{1} and F_{2}$ be the magnitude of the force of interaction between the spheres as shown, then

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$F_{1} > F_{2}$

$F_{1} < F_{2}$

information is not sufficient to draw the conclusion

$F_{1} = F_{2}$

answer is C.

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Detailed Solution

In Case I, when both are positively charged, due to induction positive charge moves outward on spheres, increasing effective distance between centres of charge causing magnitude of the force to decrease.

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