Uncertainty in position is twice the uncertainty in momentum. Uncertainty in velocity is :

Options

A. `sqrt((h)/(pi))`
B. `(1)/(2m) sqrt((h)/(pi))`
C. `(1)/(2m) sqrt(h)`
D. `(h)/(4 pi)`

Answer

C

Explanation

( c) `Delta x = 2 Delta p`
`Delta x. Delta p = (ħ)/(2) = (h)/(4 pi)`
`rArr 2 Delta p. Delta p = (ħ)/(2)`
`2(m Delta V)^2 = (ħ)/(2) , (Delta V)^2 = (ħ)/(4 m^2)`
`rArr5 Delta V = (sqrt(ħ))/(2 m)`.