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Question: Answered & Verified by Expert
The uncertainty in the position of a moving bullet of mass $10 \mathrm{gm}$ is $10^{-5} \mathrm{~m}$. Calculate the uncertainty in its velocity
ChemistryStructure of AtomJEE Main
Options:
  • A $5.2 \times 10^{-28} \mathrm{~m} / \mathrm{sec}$
  • B $3.0 \times 10^{-28} \mathrm{~m} / \mathrm{sec}$
  • C $5.2 \times 10^{-22} \mathrm{~m} / \mathrm{sec}$
  • D $3 \times 10^{-22} \mathrm{~m} / \mathrm{sec}$
Solution:
2539 Upvotes Verified Answer
The correct answer is: $5.2 \times 10^{-28} \mathrm{~m} / \mathrm{sec}$
Uncertainty of moving bullet velocity $\Delta v=\frac{h}{4 \pi \times m \times \Delta v}=\frac{6.625 \times 10^{-34}}{4 \times 3.14 \times .01 \times 10^{-5}}$ $=5.2 \times 10^{-28} \mathrm{~m} / \mathrm{sec}$

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