Atomic Structure Question 174

Question: If the velocity of hydrogen molecule is $ 5\times 10^{4}cm,se{c^{-1}} $ , then its de-Broglie wavelength is

Options:

A) $ 2{\AA} $

B) $ 4{\AA} $

C) $ 8{\AA}~ $

D) $ 100{\AA} $

Show Answer

Answer:

Correct Answer: B

Solution:

According to de-Broglie $ \lambda =\frac{h}{mv}=\frac{6.62\times {10^{-20}}erg.,\sec }{\frac{2}{6.023\times 10^{23}}\times 5\times 10^{4}cm/\sec } $

$ =\frac{6.62\times {10^{-27}}\times 6.023\times 10^{23}}{2\times 5\times 10^{4}}cm $

$ =4\times {10^{-8}}cm=4 \AA $ .



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