Physics 31: Homework #5Due Thursday, February 21, 2008Problem A:The wave function of a particle is given byψ(x)=Nexp"-µx3.1915˚A¶2#(When you evaluate this function, take all distancesxto be in˚A.)(a) What is the correct numerical value of the normalization constantN?Hint:You mustexplicitly evaluateN.(b) Make a plot ofψ(x)and¯¯¯ψ(x)¯¯¯2. Indicate numerical values.(c) Estimate the probability that a measurement of the particle’s position gives a valuebetweenx=1.45˚Aandx.55˚A.(d) Use the sketch you made in part (b) to estimate the uncertainty ∆xin the particle’s
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