MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryAtomic StructureIntro

[CBSE AIPMT 2008] If uncertainty in position and momentum are equal, then uncertainty in velocity is

0.(1/m)√(h/(2π))

1.√(h/2π)

2.(1/m)√(h/π)

3.√(h/π)

Explanation

Δx·Δp ≥ h/(4π). Given Δx = Δp: (Δp)² = h/(4π) → Δp = √(h/4π). Δv = Δp/m = (1/m)√(h/4π) = (1/m) × (1/2)√(h/π) = (1/(2m))√(h/π). This simplifies to (1/m)√(h/4π).

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