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AP Physics 2
15.1 Quantum Theory and Wave-Particle Duality
AdvancedMCQConceptual13.6k
A grayscale schematic diagram of a diffraction setup. On the far left, a horizontal arrow labeled Particle Beam points toward the right. In the center stands a vertical barrier containing evenly spaced narrow openings labeled with slit separation d. To the right of the barrier, dashed lines diverge toward a vertical detection screen located at a horizontal distance L from the barrier. On the screen, alternating tick marks indicate interference peaks with an adjacent spacing labeled \Delta y. No other labels, lines, text, or axes appear.
Experimental setup for matter wave diffraction through a transmission grating.
A beam of electrons and a beam of neutral carbon-60 (\(\text{C}_{60}\)) fullerene molecules are each prepared such that the particles in both beams have the same kinetic energy \(K\). Each beam is directed through an identical transmission diffraction grating with slit spacing \(d\), and the resulting pattern of detected particles is recorded on a screen located a distance \(L\) behind the grating. Although both beams produce distinct interference fringes on the screen, the fringe spacing \(\Delta y\) for the \(\text{C}_{60}\) beam is significantly smaller than that for the electron beam. Which of the following statements provides the correct physical explanation for this observation?

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