The uncertainty in momentum of an electron is `1 xx 10^-5 kg - m//s`. The uncertainty in its position will be `(h = 6.62 xx 10^-34 kg = m^2//s)`.

Options

A. `1.05 xx 10^(-28) m`
B. `1.05 xx 10^(-26)m`
C. `5.27 xx 10^(-30)m`
D. `5.25 xx 10^(-28) m`

Answer

C

Explanation

`Delta x.Delta p = (h)/(4pi)` or `Delta x =(h)/(4pi).(1)/(Delta p)`
`= (6.62 xx 10^(-34))/(4 xx 22//7 xx 1.0 xx 10^(-5))`
`= 5.27 xx 10^(-30)m`.