The speed of a certain electron is 995 km s−1 . if the uncertainty in its momentum is to be reduced to 0.0010 per cent, what uncertainty in its location must be tolerated?

The uncertainty in the location that must be tolerated is

Explanation:

From the uncertainty Principle,

Δ Δ

The momentum P = (mass of electron)(speed of electron)

                                =

                                =

If the uncertainty is reduced to a 0.0010%, then momentum

                              =

Thus the uncertainty in the position would be:

                              Δ

                              Δ

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