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If the electron is to be located within ` 5 xx 10^(-5)` what will be the uncertainty in the velocity ? |
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Answer» The electron is to exist within `5 xx 10^(-5) Å` Let `Delta x = 5 xx 10^(-5) xx 10^(-10) m = 5 xx 10^(-15) m` According to Heisembery uncrtainty principle `Delta x - Delta p ge (h)/(4pi)` `Delta x - m Delta v ge (h)/(4pi)` `Delta x ge (h)/(4pi Delta x m)` ` ge (6.62 xx 10^(-34) kg m^(2)s^(-1))/(4 xx 3.14 xx 5 xx 10^(-15) m xx 9.1 xx 10^(-31) kg)` ` ge 16 xx 10^(19) m s^(-1)` The uncertainty in the velocity of the electrn is `1.62 xx 10^(19) m s^(-1)` |
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