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 $



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