Atomic Structure Question 429

Question: An electron travels with a velocity of $ xm{s^{-1}}. $ For a proton to have the same de-Broglie wavelength, the velocity will be approximately:

Options:

A) $ \frac{1840}{x} $

B) $ \frac{x}{1840} $

C) $ 1840x $

D) $ x $

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Answer:

Correct Answer: B

Solution:

  • $ \lambda =\frac{h}{m_{e}x}=\frac{h}{m_{p}V}=\frac{h}{1840m_{e}V} $

$ [ \therefore m_{p}=1840m_{e} ] $
Hence, $ V=\frac{x}{1840} $



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