Solved: The smallest meaningful measure of length is

Chapter 1, Problem 1.39

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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 the gravitational constant and Plancks constant The Planck length is given by the following combination of these three constants: Show that the dimensions of are length [L], and find the order of magnitude of [Recent theories (Chapters 32 and 33) 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.]