Question

If uncertainity in position and velocity are same, then uncertainity in the momentum will be

Answer 1

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Heisenberg uncertainty principle =Δx.ΔP

Heisenberg uncertainty principle =Δx.ΔP=> =h2

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in position

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔV

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=y

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=ySo, y2.m=h/4π

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=ySo, y2.m=h/4πy=[h/(4mπ)]1/2

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=ySo, y2.m=h/4πy=[h/(4mπ)]1/2uncertainty in momentum =y.m

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=ySo, y2.m=h/4πy=[h/(4mπ)]1/2uncertainty in momentum =y.m=[mh4π]1/2

Heisenberg uncertainty principle =Δx.ΔP=> =h2Δx= uncertainty in positionΔp= uncertainty in momentum =mΔVLet, Δx=Δv=ySo, y2.m=h/4πy=[h/(4mπ)]1/2uncertainty in momentum =y.m=[mh4π]1/2=12.[mh/π]1/2

Answer 2

Answer:

momentum will be same as velocity