In an atom an electrron is momving with a speed fo ` 600 m//s` with an accuracy fo ` 0.005%` . Cenrtatinty with which the position fo the elelcron can be locatied si :
` ( 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. ` 2.5 nm`
D. ` 14. 0 nm`

Answer

C

Explanation

` :. U = (600 xx 0.005)/( 100) = 0. 30 m sec^(-1)`
` Now Delta x . M. Delta u = h/( 4pi ) `
` Delta x = ( 6.6xx 10^(-34))/( 4 xx 3.14 xx 9. xx 10^(34) xx 0. 30) = 1 . 92 xx 10^(-3) m`.