The smallest meaningful measure of length is called the Planck length, and is defined in terms of
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The smallest meaningful measure of length is called the Planck length, and is defined in terms of three fundamental constants in nature: the speed of light c = 300 × 108 m / s, the gravitational constant h = 6.63 × 10-34 kg · m2 /s. The Planck length lp is given by the following combination of these three constants
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Show that the dimensions of lp are length [L], and find the order of magnitude of lp. [Recent theories suggest that the smallest particles (quarks, leptons) are "strings" with lengths on the order of the Planck length, These theories also suggest that the "Big Bang," with which the universe is believed to have begun, started from an initial size on the order of the Planck length.]
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Using the units on each of the fundamental constants ...View the full answer
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