Atomic Structure Question 509
Question: Uncertainty in position of a 0.25 g particle is $ {10^{-5}} $ . Uncertainty of velocity is $ (h=6.6\times {10^{-34}},Js) $ [AIEEE 2002]
Options:
A) $ 1.2\times 10^{34} $
B) $ 2.1\times {10^{-29}} $
C) $ 1.6\times {10^{-20}} $
D) $ 1.7\times {10^{-9}} $
Show Answer
Answer:
Correct Answer: B
Solution:
According to $ \Delta x\ \times m\ \times \Delta v=\frac{h}{4\pi } $ ; $ \Delta v=\frac{h}{\Delta x\ \times m\ \times 4\pi } $
$ =\frac{6.6\times {10^{-34}}}{{10^{-5}}\times 0.25\times 3.14\times 4}=2.1\times {10^{-29}}\ \ m/s $
