Atomic Structure Question 510

Question: The uncertainty in momentum of an electron is $ 1\times {10^{-5}}kg,m/s $ . The uncertainity in its position will be $ (h=6.63\times {10^{-34}}Js) $ [Pb. CET 2000]

Options:

A) $ 5.28\times {10^{-30}}m $

B) $ 5.25\times {10^{-28}}m $

C) $ 1.05\times {10^{-26}}m $

D) $ 2.715\times {10^{-30}}m $

Show Answer

Answer:

Correct Answer: A

Solution:

Uncertainity in position $ \Delta x=\frac{h}{4\pi \times \Delta p} $

$ =\frac{6.63\times {10^{-34}}}{4\times 3.14\times (1\times {10^{-5}})} $

$ =5.28\times {10^{-30}}m $ .



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