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18/08/2021 10:51 am
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The position of both, an electron and a helium atom is known within 1.0 nm. Further the momentum of the electron is known within 5.0 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom is
(a) 50 kg ms–1
(b) 80 kg ms–1
(c) 8.0 × 10–26 kg ms–1
(d) 5.0 × 10–26 kg ms–1
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18/08/2021 10:55 am
Correct answer: (d) 5.0 × 10–26 kg ms–1
Explanation:
By Heisenberg uncertainty Principle
Δx x Δp = \(\frac{h}{4 \pi}\) (which is constant)
As Δx for electron and helium atom is same thus momentum of electron and helium will also be same therefore the momentum of helium atom is equal to 5.0 × 10–26 kg ms–1.