Explore BrainMass
Share

Explore BrainMass

    Uncertainty: Particle in a Box

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A helium atom is confined to a one-dimensional space 8 x 10^-10m.
    1. What is the minimum uncertainty in the momentum of the helium atom?
    2. What is the minimum velocity of the helium atom?
    3. What is the minimum energy of the helium atom?

    © BrainMass Inc. brainmass.com October 10, 2019, 7:39 am ad1c9bdddf
    https://brainmass.com/physics/quantum-physics/uncertainty-particle-box-589961

    Solution Preview

    L = 8*10^(-10) m
    h_cut = h/(2*pi) = 1.054*10^(-34) J.s
    h=6.626*10^(-34)J.s
    mass of helium atom, m = 4*1.67*10^(-27) kg

    1. Minimum uncertainty in momentum (n=1):
    delta(p) = ...

    Solution Summary

    The solution determines the minimum uncertainty in the momentum of the helium atom, the minimum velocity of the helium atom, and the minimum energy of the helium atom.

    $2.19