Structure of Atom - Result Question 28

####30. The position of both, an electron and a helium atom is known within 1.0nm. Further the momentum of the electron is known within 5.0×1026kgms1. The minimum uncertainty in the measurement of the momentum of the helium atom is

(a) 50kgms1

(b) 80kgms1

(c) 8.0×1026kgms1

(d) 5.0×1026kgms1

[1998]

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Solution:

  1. (d) By Heisenberg uncertainty Principle Δx×Δp=h4π (which is constant) As Δx for electron and helium atom is same thus momentum of electron and helium will also be same and the uncertainty in momentum of helium atom is equal to 5×1026kgms1.


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