Solved: Apply the binomial theorem (Appendix E) to the
Chapter 37, Problem 52(choose chapter or problem)
Apply the binomial theorem (Appendix E) to the last part of Eq. 37-52 for the kinetic energy of a particle. (a) Retain the first two terms of the expansion to show the kinetic energy in the form K = (first term) + (second term). The first term is the classical expression for kinetic energy. The second term is the first-order correction to the classical expression. Assume the particle is an electron. If its speed v is el20, what is the value of (b) the classical expression and (c) the first -order correction? If the electron's speed is 0.80e, what is the value of (d) the classical expression and (e) the first-order correction? (f) At what speed parameter (3 does the first-order correction become 10% or greater of the classical expression?
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