Question

An electron in a particle accelerator has an uncertainty in its position of 5.00 pm. Calculate the

uncertainty in the momentum of the electron.​

Answer 1

According to Heisenberg's uncertainty principle,

ΔxΔp≥4πh

Where Δx&Δp are the uncertainty in position and momentum respectively and h is Planck’s Constant.

Now, the uncertainty in position here is simply the region where your electron is confined. Here, it is 10−10

∴Δp≥4π×Δxh

⇒Δp≥4×3.14×10−106.63×10−34

⇒Δp≥5.27×10−25gms−1

Hence, the uncertainty in the momentum is 5.27×10−25gms−1

hope it helps uu