If an electron is moving with velocity `500ms^(-1)`, which is accurate up to 0.005% then calculate uncertainty in its position. `[h=6.63xx10^(-34)J-s`, mass of electron `=9.1xx10^(-31)kg]`

Explanation

Velocity of the electron `= 600 ms^(-1)`
Uncertainty in velocity `= (0.005)/(100) xx 600 ms^(-1) = 0.03 ms^(-1) = 3 xx 10^(-2) ms^(-1)`
Now `(Delta x) (m Delta v) = (h)/(4pi)`
`:. Delta x = (h)/(4pi m Delta v) = (6.63 xx 10^(-34) kg m^(2) s^(-1))/(4 xx 3.14 xx 9.1 xx 10^(-31) kg xx 3 xx 10^(-2) ms^(-1)) = 1.93 xx 10^(-3)m`