Question on de Broglie wavelength
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Question on de Broglie wavelength

[From: ] [author: ] [Date: 11-08-09] [Hit: ]
m v = h/lambdav = h/(lambda m)= 6.626 * 10^-34 kg m^2/s / (0.50 m * 75.0 kg)= 1.As the wavelength is of the order of the size of the slit, you would notice diffraction effects.......
If your de Broglie wavelength were 0.50m, how fast would you be moving if your mass is 75.0kg? Would you notice diffraction effects as you walk through a doorway? Approximately how long would it take you to walk through the doorway?

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lambda = h/mv
v = h/(lambda*m)

m = 75 kg
lambda = 0.5m
v = 6.62e-34/(0.5*75) = 1.77e-35m.
Yes, you would see some diffraction effects since the door width is on the order of your wavelength.

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p = h/lambda, so

m v = h/lambda
v = h/(lambda m)
= 6.626 * 10^-34 kg m^2/s / (0.50 m * 75.0 kg)
= 1.77 10^(-35) m/s
As the wavelength is of the order of the size of the "slit", you would notice diffraction effects.
The time to pass would be of the order
t ~h/(p^2/2m) = 2 m h / (h^2/lambda^2) = 2 m lambda^2 / h
= 2 * 75.0 kg * (0.50 m)^2/ ( 6.626 * 10^-34 kg m^2 /s) = 5.66 10^34 seconds (i.e. not in this universe's life time!!)

Oh, and u.n. o , maybe you would want to have a look at the "packet dropped from helicopter" question again... ;-)

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4.4 * 10^-35 m/s
you would notice diffraction effects!
it would take me years to walk through the doorway!!! due to the extremely slow speed
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