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If uncertainty in position and momentum are equal, then uncertainty in velocity is:

1. 1 / 2m √(h / π)
2. 1 / m √(h / π)
3. √(h / 2π)
4. √(h / π)

Correct answer: 1 / m √(h / π)

Solution

According to Heisenberg's uncertainty principle, Δx * Δp ≥ h/4π. If Δx = Δp, then Δv = Δp/m. Substituting Δp = √(h/π), we get Δv = 1/m √(h/π).

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