Atomic Structure Question 506

Question: The uncertainty in the position of a moving bullet of mass 10 gm is $ {10^{-5}}m $ . Calculate the uncertainty in its velocity [DCE 1999]

Options:

A) $ 5.2\times {10^{-28}}m/sec $

B) $ 3.0\times {10^{-28}}m/sec $

C) $ 5.2\times {10^{-22}}m/sec $

D) $ 3\times {10^{-22}}m/sec $

Show Answer

Answer:

Correct Answer: A

Solution:

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}}m/sec $ .



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