The size of a microscopic particle is 1 micron and its mass is `6 xx 10^(-13)g`. If its position may be measured to within 0.1% of its size, the uncertainity in velocity (in `cm^(-1)`) is approximately

Options

A. `(10^(-7))/(4pi)`
B. `(10^(-5))/(4pi)`
C. `10^(-5)`
D. `10^(-8)`

Answer

A

Explanation

`Delta x = (0.1)/(100) = 10^(-4) cm , Delta x . M Delta v ge (h)/(4pi)`
`Delta V = h/(4pim) xx1/(Deltax) = (10^(-7))/(4pi)`