unless your lights are your heat do not turn them on till you see the seedlings up out of the dirt
dan
let it burn

Yeap, they need "heat" to germinate correctly. So the ones in the window will germinate faster but the ones under the light will grow healthier.

What you can do is put all the seeds above a heat source until they pop up, then you can put them under the lights and make sure you have air flow after another few weeks.

Naturalstuff is right : the windowsill ones will generally start very well since they have more heat (from the radiator beneath and the sun through the glass). But than the seedlings will find themselves 'underlighted' and will stretch out to the light. Light 'therapy' will give you immediate evidence that under the fluorescent bulbs they will become much more healthier (those leggy ones have thin almost see-through stems)