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(A) In the absence of gravity,the only force acting on each sphere is the electrostatic repulsive force $F$ and the tension $T$ in the string.Since th

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$\frac{Q^2}{16 \pi \varepsilon_0 L^2}$

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(A) In the absence of gravity,the only force acting on each sphere is the electrostatic repulsive force $F$ and the tension $T$ in the string.Since the spheres are in equilibrium in a horizontal position,the distance between the two spheres is $2L$.The electrostatic force between the two spheres is given by Coulomb's law:$F = \frac{1}{4 \pi \varepsilon_0} \frac{Q \cdot Q}{(2L)^2} = \frac{1}{4 \pi \varepsilon_0} \frac{Q^2}{4L^2} = \frac{Q^2}{16 \pi \varepsilon_0 L^2}$Since the system is in equilibrium,the tension $T$ in each string must balance the electrostatic force $F$ acting on each sphere.Therefore,$T = F = \frac{Q^2}{16 \pi \varepsilon_0 L^2}$.

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