hwk5 - Physics 31: Homework #5 Due Thursday, February 21,...

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Physics 31: Homework #5 Due Thursday, February 21, 2008 Problem A: The wave function of a particle is given by ψ ( x )= N exp " - µ x 3 . 1915 ˚ A 2 # (When you evaluate this function, take all distances x to be in ˚ A.) (a) What is the correct numerical value of the normalization constant N ? Hint: You must explicitly evaluate N . (b) Make a plot of ψ ( x )and ¯ ¯ ¯ ψ ( x ) ¯ ¯ ¯ 2 . Indicate numerical values. (c) Estimate the probability that a measurement of the particle’s position gives a value between x =1 . 45 ˚ Aand x . 55 ˚ A. (d) Use the sketch you made in part (b) to estimate the uncertainty ∆ x in the particle’s
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