The De-broglie wavelength associated with an electron, accelerated through a potential difference V is

Concept:

• The wavelength of the electron due to its motion is called the de-Broglie wavelength of the electron.
• The bundle of light rays is called a photon.
• The de-Broglie wavelength of an electron (λe) is given by:

\(\Rightarrow {λ _e} = \frac{h}{mv}= \frac{12.27}{\sqrt{V}}A^{\circ}\)

• Energy of a photon (E) = (hc)/λ

∴ The wavelength of the photon is

\(⇒ λ =\frac{{h\;c}}{E}\)

Where E = energy, h = Planck constant, m = mass of electron and c = speed of light

Explanation:

• The wavelength associated with an electron accelerated through a potential difference of V is 

• The de-Broglie wavelength of an electron (λe) is given by:

\(\Rightarrow {λ _e} = \frac{h}{mv}= \frac{12.27}{\sqrt{V}}A^{\circ}\)