Question

The Heisenberg uncertainty principle relates an object\'s postion uncertainty (Δx) to the object\'s velocity uncertainty (Δv)...

The Heisenberg uncertainty principle relates an object\'s postion uncertainty (Δx) to the object\'s velocity uncertainty (Δv) by

delta x is greater than or equal to h/(4pi x m x delta v) where h is Planck\'s constant and m is the mass of the object.

Given that the mass of an electron is 9.11× 10–31 kg, determine the uncertainty in its position if it was moving at 5.00 × 106 m/s with an uncertainty of Δv = 0.01 × 106 m/s.

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Answer #1

The uncertainty of the position is given by the following equation:

where

and

Finally

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