If the uncertainity in locating the position of a proton `(m=1.67xx10^(-27 kg))` is `5 mu m`, the uncertainitiy in its speed will be

Options

A. `ge 9.3xx10^(-3) ms^(-1)`
B. `ge 6.3xx10^(-3) ms^(-1)`
C. `ge 6.3xx10^(-2) ms^(-1)`
D. `le 6.3xx10^(-2) ms^(-1)`

Answer

B

Explanation

`Delta v ge (h)/(4 pi) ((1)/(m_(p) Delta x))=((6.626xx10^(-34) Js))/((4)xx(3.14) (1.67xx10^(-27)kg) (5xx10^(-6) m)) =6.3xx10^(-3) ms^(-1)`