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ChemistryMediumNumerical2022 · 29 Jul Shift 1

Q51.The minimum uncertainty in the speed of an electron in one dimensional region of length 2ao (Where ao = Bohr radius 52. 9 pm) is____ kms−1 (Nearest integer) (Given : Mass of electron = 9. 1 × 10−31 kg , Planck's constant h = 6. 63 × 10−34 Js)

What This Question Tests

This question applies Heisenberg's Uncertainty Principle to calculate the minimum uncertainty in speed given the uncertainty in position for an electron.

Concepts Tested

Heisenberg's Uncertainty PrinciplePosition uncertaintyMomentum uncertainty

Formulas Used

Δx ⋅ Δp ≥ h / (4π)

Δp = m ⋅ Δv

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