Soot particles, from incomplete combustion in diesel engines, are typically 15 nm in diameter and have a

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Soot particles, from incomplete combustion in diesel engines, are typically 15 nm in diameter and have a density of 1200 kg/m3. FIGURE P39.45 shows soot particles released from rest, in vacuum, just above a thin plate with a 0.50-μm-diameter hole€” roughly the wavelength of visible light. After passing through the hole, the particles fall distance d and land on a detector. If soot particles were purely classical, they would fall straight down and, ideally, all land in a 0.50-μm-diameter circle. Allowing for some experimental imperfections, any quantum effects would be noticeable if the circle diameter were 2000 nm. How far would the particles have to fall to fill a circle of this diameter?

Soot particle 0.50 µm hole Detection circle FIGURE P39.45

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