What Happens when you Remove a white hair

Nothing happens. Plucking a white hair doesn't result in 2 more growing back in its place.This is just a myth. 
The reason this myth has propagated, I think, is because it might seem to be truth, altough it isn't. When you pluck a white hair, it takes a long time for it to grow back and needs to have a considerable lenght to make it noticeable. During that time more white hair can grow, but that's just because time is passing by and white hair is a result of the aging process. So people wrongly associate the fact that they plucked a white hair with the fact that now they have more white hair. 
This is a logical falacy that states that correlation proves causation, when in fact correlation doesn't imply causation.