A beam of particles, each of mass m and (nonrelativistic) speed v, strikes a barrier in which there are two narrow slits and beyond which is a bank of detectors. With slit 1 alone open, 100 particles are detected per second at all detectors. Now slit 2 is also opened. An interference pattern is noted in which the first minimum, 36 particles per second, occurs at an angle of 30° from the initial direction of motion of the beam.
(a). How far apart are the slits?
(b). How many particles would be detected (at all detectors) per second with slit 2 alone open?
(c). There are multiple answers to part (b). For each, how many particles would be detected at the center detector with both slits open?
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