Question

an electron at rest is accelerated through a potential of 5000V. Calculate the de-brogile wavelength of matter wave associated with it.

Answer 1

1) The speed after acceleration is

$$v=\sqrt{2Ve/m_e}=41.94·10^6\text{ m/s}.$$

2) The wavelength is

$$\lambda=h/(m_ev)=1.73·10^{-11}\text{ m}.$$