The uncertainty in the momentum of a particle is `6xx10^(-9)kg ms^(-1)`. Calculate the uncertainty in its position.

Explanation

Uncertaintyin momentum,
`Deltap=6xx10^(-2)kg " "m" "s^(-1)`
According to Heisenberg's principle, `Deltax x Deltap = (h)/(4pi)`
`therefore " "Deltax=(h)/(Deltapxx4pi)`
`Deltax = (6.6xx10^(-34)kg m^(2)s^(-1))/(6xx10^(-2)kg ms^(-1)xx4xx3.14)=8.76xx10^(-34)m`.