(a) Derive an expression for the de Broglie wavelength of a charged particle of…
PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation
Problem
(a) Derive an expression for the de Broglie wavelength of a charged particle of charge q and mass m that has been accelerated from rest through a potential difference V.
(b) Using the derived expression, determine the wavelength associated with a proton accelerated through 600V (take proton mass mp=1.67×10−27kg; charge of proton q=1.6×10−19C).
(c) By what factor should the accelerating potential be changed so that the proton’s de Broglie wavelength becomes half of the value obtained in part (b)?