If the electron is to be located within ` 5 xx 10^(-5)` what will be the uncertainty in the velocity ?

Explanation

The electron is to exist within `5 xx 10^(-5) Å`
Let `Delta x = 5 xx 10^(-5) xx 10^(-10) m = 5 xx 10^(-15) m`
According to Heisembery uncrtainty principle
`Delta x - Delta p ge (h)/(4pi)`
`Delta x - m Delta v ge (h)/(4pi)`
`Delta x ge (h)/(4pi Delta x m)`
` ge (6.62 xx 10^(-34) kg m^(2)s^(-1))/(4 xx 3.14 xx 5 xx 10^(-15) m xx 9.1 xx 10^(-31) kg)`
` ge 16 xx 10^(19) m s^(-1)`
The uncertainty in the velocity of the electrn is `1.62 xx 10^(19) m s^(-1)`