When uncertainty in position and momentum are equal, then uncertainty 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

Let `Deltax=Deltap=x`
`:.Deltax xx Deltap=h/(4pi)`
`x xx x =h/(rpi) `or `x^(2)=h/(4pi)`
`x=1/2s at (h/(pi))`
Now `x=mv`
`:.v=1/(2m)sqrt(h/(pi))`