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The mass m of an electron is 9.1 xx 10^(...

The mass `m` of an electron is `9.1 xx 10^(31)kg` and the velocity `v` of an electron in the first Bohr orbit of a hydrogen atom is `2.2 xx 10^(6)ms^(-1)`. Assuming that the velocity is known within `10% (Deltav = 0.22 xx 10^(6)ms^(-1))`, calculate the uncertainty in the electron's position in a hydrogen atom.
Strategy: According to Heisenberg's principle, the uncertainty in the postion `(Deltax)` of any moving particle multiplied by the uncertainity of momentum `(Deltap_(x))` can never be less than `h//4pi`. In the given case, `Delta v` is known and we need to find `Deltax`.

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