An electron of mass m and magnitude of charge e at rest, gets accelerated by a constant electric field E . The rate of change of de-Broglie wavelength of this electron at a time t is (ignore relativistic effects)

Step-by-step solution

The acceleration of the electron is a = e E m The velocity of the electron as a function of time is v = a t = e E m t The de-Broglie wavelength is λ = h m v λ = h m e E m t λ = h e E t d λ d t = - h e E t 2