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Heisenberg Uncertainty Principle Post-Module Assessment

Posted: Sat Oct 12, 2019 4:10 pm
by Ben 1B
What are the necessary steps and formulas to answer question number 17 from the Heisenberg Uncertainty Principle Post-Module Assessment?
17. Calculate the uncertainty (indeterminacy) in position of an electron if its uncertainty in speed is one hundredth the speed of light.

Re: Heisenberg Uncertainty Principle Post-Module Assessment

Posted: Sat Oct 12, 2019 4:36 pm
by Chem_Mod
Use Heisenberg's uncertainty principle which states that delta(p) x delta(x) >/= h/4pi, where delta(p) = m(delta v). delta p is the uncertainty in momentum, delta v is uncertainty in speed or velocity and delta x is the uncertainty in position. You are given delta v in terms of the speed of light, 3.00 x 10^8 m/s. Divide that by 100 to get the uncertainty in speed. Plug that into the above equation along with the mass of an electron and Planck's constant and solve for delta x.