In an atom , an electron is moving with a speed of 600 m/s with an accuracy of `0.05%` . The certainty with which the position of the electron can be located is (h = `6.6 xx 10^(-34) kgm^(2)s^(-1)` , mass of electron , `e_(m) = 9.1 xx 10^(-31)` kg ):

Options

A. `1.52xx10^(-4) m`
B. `5.10xx10^(-3)m`
C. `1.92xx10^(-3)m`
D. `3.84xx 10^(-3)m`

Answer

C

Explanation

`(DeltaP)(Deltax)=(h)/(4pi)`
`(Deltax)=(1)/(4pim(DeltaV))`
`" " =(6.6xx10^(-34))/(4xx(22)/(7)xx9.1xx10^(-31)xx600xx(5xx10^(-3))/(100))`
`=(66xx7xx10^(-34)xx10^(3)xx10^(31))/(4xx22xx91xx6xx5)`
`=(7)/(40xx91)`
`=1.92xx10^(-3)m`