When uncertainty in position and momentum are equal, then the uncertainly in velocity is

Options

A. `sqrt((h)/(pi))`
B. `(1)/(2) sqrt((h)/(pi))`
C. `(1)/(2m) sqrt((h)/(pi))`
D. `2m sqrt((h)/(pi))`

Answer

C

Explanation

`Delta x = Delta p`
`Delta p^(2) = (h)/(4pi) or Delta p = (1)/(2) sqrt((h)/(pi))`
`m Delta v = (1)/(2) sqrt((h)/(pi)) or, Delta v = (1)/(2m) sqrt((h)/(pi))`