An electron is accelerated to one -tenth the velocity of light suppose its velocity can be measurted with a precision of `1%` what must be the uncertain with qa precition of `1 %` what must be the uncertainty in position ?

Answer

A, C, D

Explanation

`Delta = [(1)/(100) xx (1)/(10)c] = ( 3 xx 10^(8) m s^(-1))/(1000) = 3 xx 10^(5) m s^(-1)`
`:. Delta p Delta x ge (h)/(4pi)`
`Delta x ge (1)/(Delta p)xx(h)/(4pi)`
`ge (1)/(m Delta v) ,(h)/(4pi)`
`ge (1)/(9.1 xx 10^(-31)(kg)) xx (1)/( 3 xx 10^(5)m s^(-1)) xx (6.626 xx 10^(-34)(Js))/(4 xx 3.14)`
`ge 1.93 xx 10^(-10)m`