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An object has a mass of 6 kg and velocity of 10 m/s. The speed is measured with 5% accuracy, then find out Δx in m.(a) 0.12676 x 10^-34(b) 0.1566 x 10^-34(c) 0.176 x 10^-34(d) 0.276 x 10^-34This question was addressed to me during an interview.I would like to ask this question from Towards Quantum Mechanical Model of the Atom in division Structure of Atom of Chemistry – Class 11

Answer»

The correct CHOICE is (c) 0.176 X 10^-34

To elaborate: Speed’s uncertainty is 10 x 5/100 = 0.5 m/s. We have Heisenberg’s PRINCIPLE of uncertainty i.e. Δx. Δp ≥ h/4π. Δx = h/2mπ. Therefore uncertainty in position = 6.626 x 10^-34 Js/12 x 3.1416 = 0.176 x 10^-34.



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