I suspect this may hv asked before. But a search on flash sync turns out many threads but surprisingly most of it not quite related.
Here's my question.
When is states flash sync at 1/250, what does it means? What will be the result if I use slower or faster speed than what's stated? And how abt EV adjustment on the flash. If we adjust lower or higher EV on the flash, does it means it will not sync at 1/250?
This is sort of complicated. You're almost certainly referring to a camera with a focal plane shutter, which is typically found on cameras with interchangeable lenses. A focal plane shutter is near the sensor, so you don't have to put a shutter on each lens.
The way the shutter works is that it has a pair of curtains that run across the sensor. This video shows what happens in great detail:
In your case, the curtain takes about 1/250 second to go across the sensor. If you have a shutter speed slower than 1/250, there's a delay before the second curtain starts moving. If your shutter speed is faster than 1/250, the second curtain starts before the first one is completely across the sensor.
Now lets imagine you have a flash. Electronic flashes are pretty fast, being on from about 1/1000 second to as short as 1/25,000 at low power. If you want the whole image to be exposed to the light from the flash, the whole sensor has to be exposed at some instant in time. That can't happen if the shutter speed is faster than 1/250 because then there won't be any point in time where the entire sensor is exposed.
If you shoot flash at a shutter speed over 1/250, only part of your image will see the light from the flash. This will be painfully evident because part of your picture will be dark.
If your shutter speed is slower than 1/250, then you can fire the flash any time between the first curtain finishing its path and the second curtain starting. Some cameras allow you to select between first curtain and second curtain triggering to get different motion effects.
Flash EV has no effect here; it just changes how much light the flash puts out.