Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureHeisensberg's Uncertainty PrincipleEasy2 minPYQ_2021
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An accelerated electron has a speed of 5×106 ms-1 with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is x×10-9 m.
The value of x is __________. (Nearest integer)

[Use mass of electron=9.1×10-31 kg,

h=6.63×10-34Js,π=3.14

Answer:
58
Solution:

Δv=0.02100×5×106=103 m s-1

Δx·Δv=h4πm

x×10-9×103=6.63×10-344×3.14×9.1×10-31

x×10-9×103=0.058×10-3

x=0.058×10-610-9=58

Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Heisensberg's Uncertainty Principle
2mℹ️ Source: PYQ_2021

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