Calculate the product of uncertainty in displacement and velocity for an electron of masss `9.1xx10^(-31)`kg according to Heisenberg's uncertainty principle.

Answer

`5.79xx10^(-5)m^(2) s^(-1)`

Explanation

According to Heisenberg's uncertainty principle, `Deltax.mDeltav=(h)/(4 pi) or Deltax *Deltav=(h)/(4 pi m)`
`h=6.626xx10^(-34) "kg" m^(2) s^(-1), pi =3.143, m=9.1xx10^(-31) "kg"`
`Deltax*Deltav=((6.626xx10^(-34)"kg"m^(2)s^(-1)))/(4xx3.143xx(9.1xx10^(-31) "kg")) " " =5.79xx10^(-5) m^(2)s^(-1)`