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Calculate the uncertainty in the position of a dust particle with mass equal to `1 mg` if the uncertiainty in its velocity is `5.5 xx 10^(-20)ms^(-1)` |
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Answer» According to Herisenberg uncertainty principle `Delta x m Delta V_(x) = (h)/(4pi)` `or Delta x = (h)/(4pi m Delta V_(x))` `Delta v_(x) = 5.5 xx 10^(-20 m s^(-1)` ` m = 1 mg = 10^(-6) kg , pi = 3.143 ` `h = 6.626 xx 10^(-34) m^(2)s^(-1)` `:. Delta x = (6.626 xx 10^(-34) kg m^(2)s^(-1))/(4 xx 3.143 xx 10^(-6) kg xx 5.5 xx 10^(-20) ms^(-1))` `= 9.58 xx 10^(-10)m` |
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