The uncertainty in the position of an electron moving with a velocity of `1 xx 10^4 cm s^-1` (accurate up to `0.011 %`) will be :

Options

A. `1.92 cm`
B. `7.68 cm`
C. `0.528 cm`
D. 3.8 cm

Answer

C

Explanation

( c) `Delta v =1 xx 10^4 xx (0.011)/(100) = 1.1 cm sec^-1`
`Delta x = (h)/(4 pi m Delta v) = (6.626 xx 10^-27)/(4 xx 3.14 xx 9.1 xx 10^-28 xx 1.1) = 0.528 cm`.