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An electron is confined in a box of dimension 1Angstrom. calculate minimum uncertainty in its velocity.
1 Answer
written 6.2 years ago by |
Given Data :- $ L = 10^{(-10)}m$
Formula :- $∆X_ma.∆p_mi= ħ$
Calculations :- since the electron is probable anywhere within the box of length $10^{(-10)}$m, the maximum uncertainty in locating it is,
$∆X_ma= 10^{(-10)}m$
$∆X_ma.m.∆v_mi= ħ$
$∆v_mi= ħ/(m∆X_ma )$
$ = (6.63×10^{(-34)})/(2×3.14×9.1×10^{(-31)}×10^{(-8)} )$
$∆v_mi=1.16×10^5m/sec$
Answer :- minimum uncertainty in velocity = $1.16×10^5$m/s