Ur pic seems to show a very, very new seedling that looks about 3 days old. Inwhich case i'm guessing the leaves ur referring to as drooping are the little, rounded off cotyledon leaves - these are purely just initial start-up leaves and will naturally droop down & die off as the new, proper ridged leaf sets start to grow above.
And everyone else is totally right about over-watering as well - ur seedling is barely even a plant yet & will not need much water at all.