Calculate the uncertainty in the velocity of an electron, if the uncertainity in position is 100 pm.

Explanation

Given `Delta x = 100 p m = 100 xx 10^(-12) m = 10^(-10)m`
mass of electron, `m = 9.1 xx 10^(-31) kg`
`Delta v = ? Pi = 3.1416`
`Delta x xx Delta v = (h)/(4pi m)`
`Delta v = (h)/(4pi m.Delta x) = (6.625 xx 10^(-34)kg m^(2)s^(-1))/(4 xx 3.1416 xx 9.1 xx 10^(-31)kg xx 10^(-10))`
`= 5.8 xx 10^(5) ms^(-1)`
The uncertainity in velocity `= 5.8 xx 10^(5) ms^(-1)`