If the uncertainties in the measurement of position and momentum of an electron are equal calculate the uncertainty in measuring the velocity

Explanation

`Deltax xx Delta p = (h)/(4pi)`. As `Delta x = Deltap :. (Deltap)^(2) = (h)/(4pi) or Deltap = sqrt((h)/(4pi)) or m xx Deltav = sqrt((h)/(4pi))`
or `Delta v = (1)/(m) sqrt((h)/(4pi)) =(1)/(9.11 xx 10^(-31)) xx sqrt((6.626 xx 10^(-34))/(4 xx 3.14)) = (0.726 xx 10^(-17))/(9.11 xx 10^(-31)) = 7.98 xx 10^(12) ms^(-1)`
Thus, uncertainty in velocity is greater than the velocity of light which is impossible. Thus, the two uncertainties cannot be equal in magnitude.