An electron beam is produced by accelerating electrons from rest through a potential…
PHYSICS · Multi-part · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter
Problem
An electron beam is produced by accelerating electrons from rest through a potential difference of 150 V. The beam then passes through a single narrow slit of width 1.0 nm before striking a screen.
(i) Calculate the de Broglie wavelength of the electrons in the beam. Take Planck’s constant h=6.63×10−34J s and the mass of the electron me=9.11×10−31kg.
(ii) Compare the wavelength obtained in part (i) with the slit width and predict whether a noticeable diffraction pattern will be produced on the screen. Give a brief justification.
(iii) State which aspect of the electron’s dual nature is revealed (wave or particle) by the outcome you have predicted.