In an atom, an electron is moving with a speed of ` 600 m//s` with an accuracy of ` 0.005%` . Certainty with which the position of the electron can be localized is :
` ( h = 6.6 xx 10^(-34) kg m^2 s^(-1)` ,
mass of electron ` (e_m) = 9. 1 xx10^(-31) kg)`.

Options

A. `1.52 xx 10^(-4) m`
B. `5.10 xx 10^(-3) m`
C. `1.92 xx 10^(-3) m`
D. `3.84 xx 10^(-3) m`

Answer

C

Explanation

`Deltav = (0.005)/(100) xx 600 = 0.03`
`Deltax xx mDelta v = h/(4pi)`
`Deltax = h/(4 pi m Delta v)`
`= (6.6 xx 10^(-34))/(4 xx 3.14 xx 9.1 xx 10^(-31) xx 0.03)`
`= 1.92 xx 10^(-3) m`.