(i) Derive an expression for the de Broglie wavelength of an electron accelerated…
PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation
Problem
(i) Derive an expression for the de Broglie wavelength of an electron accelerated from rest through a potential difference V.
(ii) Using the derived expression, calculate the wavelength for electrons accelerated through 54V. Take h=6.63×10−34Js, me=9.11×10−31kg and e=1.60×10−19C.
(iii) The Davisson–Germer experiment measured a wavelength of about 0.166nm at this voltage. Determine the percentage difference between the theoretical and experimental values and comment on the significance of the agreement.