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If the positionof theelectronis measuredwithinan accuracyof +0.002nmcalculatetheuncertaintyin themomentumoftheelectronSupposethe momentumof the electronish// 4pi_(m) xx 0.05 nmis there any problemin definingthisvalue ? |
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Answer» <P> Solution :Uncertaintyin VELOCITY`(DELTA p ) `Accordingto Heisenberg `DELTAP = (h)/(4pi Delta x)` `=(6.626 xx 10^(34) js )/( (4xx 3.1428)(0.002 xx 10^(9) m))` `Delta p= 2.63854xx 10^(23) kgms^(-1)` Realmomentumof electron= `(h)/(4pi xx 0.05 nm)` In THISWAY realmomentum `1.054 xx 10^(24) ` is less thancalculatedvalue ofuncertainty`2.64 xx 10^(23)` So the momentumof electroncan notbedefineproperly. |
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