Question

the momentum of electron is measured as 4.80*10^-27 kg m/s with an uncertainity of 2.4*10^-9

Answer 1

Question is incomplete. We need to find the uncertainty in Position?

Given conditions ⇒

Uncertainty in Momentum =   2.4 × 10⁻⁹ kgm/s.

Using the Heisenberg Uncertainty Principle,

Δp. Δx ≥ h/2π

2.4 × 10⁻⁹ .Δx   ≥ 6.62 × 10⁻³⁴/2 × 3.14

⇒ Δx   ≥  1.05/2.4 × 10⁻³⁴ × 10⁹

Δx   ≥  0.44 × 10⁻²⁵ m.

Hope it helps.