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)`

Explanation

` Delta u . Delta x = h/( 4 pi m)`
` ("Given " Delta u = 5.5 xx 10^(-20) ms^(-1) , m = 1 xx 10^(-3) xx 10^(-3) kg)`
` 5.5 xx 10 ^(-20) xx Delta x = ( 6.626 xx 10^(-34))/( 4 xx 3.14 xx 10^(-3) xx 10^(-3))`
` :. Delta x = 9. 6 xx 10^(-10) m`.