If the de Broglie wavelength of an electron is equal to times the wavelength of a photon of frequency Hz, then the speed of the electron is equal to (Speed of light = , Planck's constant = . Mass of electron = kg)
Step 1: Given data
Speed of light =
Planck's constant =
Mass of electron =
Step 2: Formula used
The wavelength of the given photon is given as,
Step 3: Calculation
Putting the values in the formula, we get,
……….(1)
As it is given that, a wavelength of the electron is
[Use equation (1)]
Also, the wavelength of an electron is given as,
Substituting the given value, we get
The speed of the electron is equal to .