Effectiveness is influenced by capacity of unit. If you are trying to mount a 270 cfm fan more than 30" above cooktop, then it may make noise but will do little to clear the air. If it is 1000 cfm, then it can be higher than 30". So the answer is "it depends". Most people don't mount them more than 36" above the cooktop unless it is a really high powered unit.

I mean that I want to put my stove in front of a window on the platform and the chimney or hood ventilation over it .what should be the height of a chimney over the stove .I mean I want to work standing in front of a window.

Hang the hood fan from the ceiling and just make sure the chiminey part is finished on all four sides and you might have to have the back on the hood finished on the back. The hood fan in this pic was actually one that was suppsed to wall mounted bit looked pretty good on the back and we just hung it with bollts into the ceiling. It was vented out the side so that is why we had a different chimney.

My go to hood is Vent-a-Hood for all of my high end kitchens. They are quiet, highly efficient, and different technology than any that you suggested above as far as the filtering.