Uncertainty in the position of an electron mass ` (9. 1 xx 10^(31) kg)` moving with a velocity ` 300 ms^(-1)` accurate uptp ` 0.001 %` will be :

Options

A. `19.2 xx 10^-2 m`
B. `5.76 xx 10^-2 m`
C. `1.92 xx 10^-2 m`
D. `3.84 xx 10^-2 m`

Answer

C

Explanation

( c) `Delta x = (h)/(4 pi m Delta u)`
=`(6.626 xx 10^-34 xx 100)/(4 xx 3.14 xx 9.1 xx 10^-31 xx 0.001 xx 300)` ltbrge`1.93 xx 10^-2 m`.