A dust particle has mass equal to `10^(11)g` dimeter equal to `10^(-4)` cm and velocity equal to`10^(-4) cms^(-1)` The error is the measurment of velocity is `0.1%` .Calculate the uncertiainty in its position comment on the result

Explanation

`Delta u = (0.1 xx 10^(-4))/(100) = 1 xx 10^(-7) cm s^(-1)`
`Delta u - Delta x = (h)/(4pi m)`
`:. Delta x = (6.626 xx 10^(-27))/(4 xx 3.14 xx 10^(-11) xx 1 xx 10^(-7))`
The unclertainty as compared to particle is
`(Delta x)/(diameter ) = (5.29 xx 10^(-10))/(10^(-4)) = 5.29 xx 10^(-6)`