(ii) Given your answers to part D (i), which slit does each electron pass through ? In the lecture , you also learned about the Heisenberg Uncertainty Principle (AEATE? L). 47!]?! According to this principle , there is a limit on the product between the uncertainty in position (a particle -like quality of the object )and the uncertainty in speed (a wave -like quality of the object , since , as de Broglie showed , speed and wavelength of the object are related ). Let's consider what we can learn from the Heisenberg Uncertainty Principle both qualitatively and quantitatively E. Suppose that the scientists conducting the experiment at the University of Nebraska -Lincoln , did a version of the experiment in which the electrons were sent out towards the slits one by one . Furthermore , suppose that they wanted to determine exactly which slit each electron went through .In order to do that one would need to determine the position of the electron to within the width of each slit. In other words , the uncertainty in the position of the electrons would be equal to the width of the slits . In their setup , the width of each slit was 62 um. (i) What would be the minimum uncertainty in the speed of the electrons , given this uncertainty in position ? (ii) How does the uncertainty in speed you calculated in part E (i) compare to the speed of a jet airplane (~ 200 mls)? (iii) As you calculated in part B (i), the process of measuring which slit the electron went through introduces a minimum uncertainty to the speed of the electron . Furthermore , recall the above statement that the speed of an object is related to the object's wave -like properties . How does the uncertainty in speed you calculated in part E (i) compare to the speed of electrons that was given in part C (i)? Report your answer as a percentage