The measurement of the electron position is associated with an uncertainty in momentum, which is equal to `1 xx 10^-18 g cm s^-1`. The uncertainty in electron velocity is (mass of an electron is `9 xx 10^-28 g`)

Options

A. `1xx10^(9)` cm `s^(-1)`
B. `1xx10^(6)` cm `s^(-1)`
C. `1xx10^(5)` cm `s^(-1)`
D. `1xx10^(11) ` cm `s^(-1)`

Answer

A

Explanation

(a) Given, `Delta p=1xx10^(-18) "g cm "s^(-1)` (uncertainty in momentum)
Mass `=9xx10^(-28) g`
`Delta p =m Deltav `
`1xx10^(-18)=9xx10^(-28)xx Deltav` (uncertainty in velocity)
`Delta v= 1xx10^(9) cm s^(-1)`