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 $
Show Answer
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} $
