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Two light vertical springs with spring constants \( k_{1} \) and \( k_{2} \) are separated by a distance \( l \). Their upper ends are fixed to the ceiling and their lower ends to the ends \( A \) and \( B \) of a light horizontal rod \( A B \). A vertical downward force \( F \) is applied at point \( C \) on the rod. \( A B \) will remain horizontal in equilibrium, if the distance \( A C \) is
(a) \( \frac{l k_{1}}{k_{2}} \)
(b) \( \frac{l k_{1}}{k_{2}+k_{1}} \)
(c) \( \frac{l k_{2}}{k_{1}} \)
(d) \( \frac{l k_{2}}{k_{1}+k_{2}} \)
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