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Question: Answered & Verified by Expert
A microscope using appropriate photons is engaged to track an electron in an atom within distance of 0.001 nm. What will be the uncertainty involved in measuring its velocity?
ChemistryStructure of AtomTS EAMCETTS EAMCET 2021 (05 Aug Shift 1)
Options:
  • A 5.79×107 m/s
  • B 5.79×106 m/s
  • C 4.79×107 m/s
  • D 3.7×106 m/s
Solution:
2234 Upvotes Verified Answer
The correct answer is: 5.79×107 m/s

According to Heisenberg’s Uncertainty principle:

x.P h4π

x=Uncertainty in position.

P=Uncertainty in momentum=mV

V=Uncertainty in velocity

m=9.11×10-31 kg(mass of electron)

h=6.626×10-34 Js

So, ΔV  h4πmΔx

ΔV  6.626×10-344×3.14×9.11×10-31×10-12

ΔV  5.79×107m/s

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