Dual Nature Of Light Question 143

Question: The speed of an electron having a wavelength of $ {{10}^{-10}}m $ is [Manipal 1997; AIIMS 2002]

Options:

A) $ 7.25\times 10^{6} $ m/s

B) $ 6.26\times 10^{6}m/s $

C) $ 5.25\times 10^{6}m/s $

D) $ 4.24\times 10^{6}m/s $

Show Answer

Answer:

Correct Answer: A

Solution:

By using $ {\lambda_{electron}}=\frac{h}{m_{e}v} $
Þ $ v=\frac{h}{m_{e}{\lambda_{e}}} $ $ =\frac{6.6\times {{10}^{-34}}}{9.1\times {{10}^{-31}}\times {{10}^{-10}}}=7.25\times 10^{6}m/s. $