physics

A beam of electrons with momentum p=10^-23 kg m/s passed through a narrow slit of width d=10^-5 m. What is the uncertainty component of the momentum in the x-direction due to the uncertainty principle (approximately)?
a. change in p greater or equal to 10^-26 kg m/s
b. change in p greater or equal to 10^-29 kg m/s
c. change in p greater or equal to 10^-32 kg m/s
d. change in p greater or equal to 10^-35 kg m/s

What is the uncertainty component of the velocity in the x-direction?
a. change in v greater or equal to 10^4 m/s
b. change in v greater or equal to 10 m/s
c. change in v greater or equal to 10^-2 m/s
d. change in v greater or equal to 10^-5 m/s
My answers do not match the choices. Please show the solution. Thanks.

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asked by Hil
  1. Δp•Δx≥h
    Δx=d=10⁻⁵
    Δp•d ≥h
    Δp≥h/d=6.63•10⁻³⁴/10⁻⁵=6.63•10⁻²⁹
    b. change in p greater or equal to 10^-29 kg m/s

    mΔv•Δx≥h
    Δx=d =
    m =10⁻³º
    Δv ≥ h/m• Δx=10⁻⁵
    =6.63•10⁻³⁴/10⁻³º•10⁻⁵ ∼10
    b. change in v greater or equal to 10 m/s

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    posted by Elena

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