- #1

Titan97

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## Homework Statement

An electron is moving in a parallel beam along the x-direction with momentum, p=mv. It encounters a slit of width w. Assuming that the electron gets diffracted somewhere within the central maximum of small angular magnitude Δθ, estimate the uncertainty Δp in its momentum component transverse to the direction of motion. Check that uncertainty principle is satisfied in this experiment.

## Homework Equations

ΔyΔp = ħ/2

## The Attempt at a Solution

I don't know where to apply the above equation. What should be the Δy here? Is it the width w or the width Δθ?

What is the uncertainty in momentum here? If Δx is the width w, then I have to consider the Δp at the slit. (is that correct?)