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. `1.92 xx 10^(-2) m`
B. `3.84 xx 10^(-2) m`
C. `19.2 xx 10^(-2)m`
D. `5.76 xx 10^(-34)m`

Answer

A

Explanation

`Delta x =(0.001)/(100) xx 300 ms^(-1) = 3 xx 10^(-3) ms^(-1)`
`Delta x. mDelta v = h//4 pi`
`:. Delta x = (h)/(4pi m Delta v)`
`= (6.63 xx 10^(-34) kg m^(2) s^(-1))/(4 xx 3.14 xx 9.1 xx 10^(-31) kg xx 3 x 10^(-3) ms^(-1))`
`= 1.93 xx 10^(-2) m`