Minimum uncertainty in proton velocity

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Question

The uncertainty in position of a proton is 5.0 × 10⁻¹¹ m. What is the minimum uncertainty in its velocity? (h = 6.626 × 10⁻³⁴ J s, mₚ = 1.67 × 10⁻²⁷ kg)

Choose one · Correct answer highlighted

3.15 × 10² m s⁻¹ 1.26 × 10³ m s⁻¹ 6.3 × 10² m s⁻¹ Correct 9.45 × 10² m s⁻¹

Δv ≥ h/(4π m Δx) ≈ 6.3×10² m s⁻¹.

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