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 $ .