1.

Show that for the particle whose coordinate incertainty is Deltax=lambda//2pi, where lambda is its de Broglie wavelength, the velocity uncertainty is of the same order of magnitude as the particle's velocity itself.

Answer»

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SOLUTION :If `Deltax=lambda//2pi=(2piħ)/(P).(1)/(2pi)=(ħ)/(P)=(ħ)/(mv)`
Thus `Deltavunderset(~)gt(ħ)/(mDeltax)=v`
Thus `Deltav` is of the same ORDER as `v`.


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