a 1.0 micrometer diameter dust particles (mass 1.0x10^-15kg) in a vacuum chamber pass through a hole (diameter assumed to be exactly that of particle) onto a detection plate 1.0m below. By how much does the diameter of the circle increase 2. Relevant equations This is clearly a heisenberg uncertainty question and so, h/2 = [tex]\Delta[/tex]x[tex]\Delta[/tex]p or plank's constant over 2 is equal to the uncertainty on x multiplied by the mementum 3. The attempt at a solution I tried to rearange the uncertainty principle to include the equations of a one dimensional box velocity v=h/2mL with the assumtion that the cylinder can be considered a box. However this lead to the uncertainty on x being the seperation and that doesn't make any logical sense. I would appreciate any help on this. Also to give context to the level of depth in theory I have this is a second year Modern Physics course for engineering students.