- #1

CJSGrailKnigh

- 57

- 0

**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**

## Homework 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

## 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 separation 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.