The position of both, an electron and a range of helium atom is known within 1.0nm. Further the momentum of the electron is known within a range of 5.0×10−26kgms−1. The minimum uncertainty in the measurement of the momentum of the helium atom is:
A
50kgms−1
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B
80kgms−1
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C
80×10−26kgms−1
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D
5×10−26kgms−1
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Solution
The correct option is B5×10−26kgms−1
By Heisenberg's Uncertainity principle,
Δx×Δp≥h4π
Position of both an electron & a helium atom =1nm
Momentum of an electron =5×10−25kg.m/s
When the postion of both the electron and helium atom is same then the momentum of helium atom is equal to momentum of an electron.