A small speck of dust with mass 1.0 * 10-13 g has fallen

Chapter 39, Problem 39.68

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A small speck of dust with mass 1.0 * 10-13 g has fallen into the hole shown in FIGURE P39.46 and appears to be at rest. According to the uncertainty principle, could this particle have enough energy to get out of the hole? If not, what is the deepest hole of this width from which it would have a good chance to escape?

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