P 6.17 In this problem, we consider the calculationsfor p and x for theparticle
ID: 681868 • Letter: P
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P 6.17 In this problem, we consider the calculationsfor p and x for theparticle in the box shown in Figure 6.5 in more detail. Inparticular, we want to determine how the absolute uncertaintypx and the relative uncertaintypx/px of a single peak correspondingto either the most probable positive or negative momentum dependson the quantum number n. a. First we must relate k and px. From E =px2/2m and E =n2h2/8ma2, show that px= nh/2a. Just setting the two expressions for E together and solvingfor px gave me the nh/2a but part (b) is my realproblem b. Use the result frompart (a) together with the relation linking the length of the boxand the allowed wavelengths to obtain px= hk. I used the relation that E =n2h2/8ma2 = hc/ but Ican't get the end product and I know that k = 2/ but Istill couldn't find the answer. PLEASE HELP!!! P 6.17 In this problem, we consider the calculationsfor p and x for theparticle in the box shown in Figure 6.5 in more detail. Inparticular, we want to determine how the absolute uncertaintypx and the relative uncertaintypx/px of a single peak correspondingto either the most probable positive or negative momentum dependson the quantum number n. a. First we must relate k and px. From E =px2/2m and E =n2h2/8ma2, show that px= nh/2a. Just setting the two expressions for E together and solvingfor px gave me the nh/2a but part (b) is my realproblem b. Use the result frompart (a) together with the relation linking the length of the boxand the allowed wavelengths to obtain px= hk. I used the relation that E =n2h2/8ma2 = hc/ but Ican't get the end product and I know that k = 2/ but Istill couldn't find the answer. PLEASE HELP!!!Explanation / Answer
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