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. `10^(9)cm s^(-1)`
B. `10^(6)cm s^(-1)`
C. `10^(5) cm s^(-1)`
D. `10^(11) cm s^(-1)`

Answer

A

Explanation

Since momenutm `(p)` is the product of mass `(m)` and velocity `(v)`, we have
`Deltap = mDeltav`
`(1xx10^(-18)g cm s^(-1)) = (9xx10^(-28)g) (Deltav)`
or `Deltav = (1xx10^(-18)g cms^(-1))/(9xx10^(-28)g)`
`= 0.11 xx 10^(10)cm s^(-1)`
`= 1.1 xx10^(9) cm s^(-1)`