Question: A double-slit device known as an "electron biprism" is capable of producing interference patterns with electrons. With such a device, a team of experimenters recently was able to produce double-slit fringes with angular separation of 4.0 × 10-6 radians, using electrons that had been accelerated through a potential difference of 50kV (Fig. 15.14.)
a. Show that the de Broglie wavelength of the electrons in this experiment was 5.5pm.
Fig. - Experimental arrangement for producing electron-interference patterns
b. What was the path difference between the interfering electron waves for the first minimum on either side of the central maximum?
c. What was the distance between the slits in this experiment?
d. If the accelerating voltage were increased from 50kV to 200kV, how would the angular separation between the fringes change? Explain briefly. A detailed calculation is not necessary.