All Problems

Wave Properties of particles. Schrodinger Equation.

Problem 6.58

A parallel stream of monoenergetic electrons falls normally on a diaphragm with narrow square slit of width b=1.0μmb=1.0 \mu \mathrm{m}. Find the velocity of the electrons if the width of the central diffraction maximum formed on a screen located at a distance l=50 cml=50 \mathrm{~cm} from the slit is equal to Δx=0.36 mm\Delta x=0.36 \mathrm{~mm}.

Reveal Answer
v=4πl/mbΔx=2.0106 m/sv=4 \pi \hbar l / m b \Delta x=2.0 \cdot 10^{6} \mathrm{~m} / \mathrm{s}