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In this problem, we consider in more detail the calculations for op and a for the particle in the box shown in the figure HU -6.0-4.0-2.0 0 2.0 4.0 6.0 k(10¹0 m-¹) n=101 n=5 _AA_ -0.6 -0.4 -0.2 0 0.2 0.4 0.6 k(10¹0 m-¹) -1.0 -0.5 0 k (10¹⁰ m-¹) n=15 -0.3 -0.2 -0.1 0.5 JAL n=1 0 k(10¹0 m-¹) 1.0 0.1 0.2 0.3 Probability density of measuring a given momentum. In particular, we want to determine how the absolute uncertainty Apz and the relative uncertainty Apz/Pz of a single peak corresponding to either the most probable positive or negative momentum depend on the quantum number n. Part A First, we must relate k and pz. From E= på/2m and E= n²h²/8ma², show that pz = nh/2a. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. 2a nh n²h² 8ma² n²h2 4a² nh 2a 4a² n²h2 8ma² n²h² Submit Request Answer p²/ 2m so p² = and |pz| = nh 2a

In this problem, we consider in more detail the calculations for op and a for the particle in the box shown in the figure HU -6.0-4.0-2.0 0 2.0 4.0 6.0 k(10¹0 m-¹) n=101 n=5 _AA_ -0.6 -0.4 -0.2 0 0.2 0.4 0.6 k(10¹0 m-¹) -1.0 -0.5 0 k (10¹⁰ m-¹) n=15 -0.3 -0.2 -0.1 0.5 JAL n=1 0 k(10¹0 m-¹) 1.0 0.1 0.2 0.3 Probability density of measuring a given momentum. In particular, we want to determine how the absolute uncertainty Apz and the relative uncertainty Apz/Pz of a single peak corresponding to either the most probable positive or negative momentum depend on the quantum number n. Part A First, we must relate k and pz. From E= på/2m and E= n²h²/8ma², show that pz = nh/2a. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. 2a nh n²h² 8ma² n²h2 4a² nh 2a 4a² n²h2 8ma² n²h² Submit Request Answer p²/ 2m so p² = and |pz| = nh 2a

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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In this problem, we consider in more detail the calculations for op and ox for the particle in the box shown in the figure n=101 T -6.0-4.0-2.0 0 2.0 4.0 6.0 k (10¹⁰ m-¹) n=5 AA -0.6 -0.4 -0.2 0 0.2 0.4 0.6 k (10¹⁰ m-¹) -1.0 -0.5 0 k (10¹⁰ m-¹) n=15 -0.3 -0.2 -0.1 0.5 n=1 i 1.0 0 0.1 0.2 0.3 k (101⁰ m-¹) Probability density of measuring a given momentum. In particular, we want to determine how the absolute uncertainty Apx and the relative uncertainty Apx/Px of a single peak corresponding to either the most probable positive or negative momentum depend on the quantum number n. Part A First, we must relate k and p. From E = p²/2m and E = n²h²/8ma², show that pa = nh/2a. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. Submit 2a nh n²h² 8ma² n²h²2 4a² nh 2a 4a² n²h² 8ma² n² h² Request Answer art B Complete previous part(s) p²/1 2m so pa and |px| nh 2a
Transcribed Image Text:In this problem, we consider in more detail the calculations for op and ox for the particle in the box shown in the figure n=101 T -6.0-4.0-2.0 0 2.0 4.0 6.0 k (10¹⁰ m-¹) n=5 AA -0.6 -0.4 -0.2 0 0.2 0.4 0.6 k (10¹⁰ m-¹) -1.0 -0.5 0 k (10¹⁰ m-¹) n=15 -0.3 -0.2 -0.1 0.5 n=1 i 1.0 0 0.1 0.2 0.3 k (101⁰ m-¹) Probability density of measuring a given momentum. In particular, we want to determine how the absolute uncertainty Apx and the relative uncertainty Apx/Px of a single peak corresponding to either the most probable positive or negative momentum depend on the quantum number n. Part A First, we must relate k and p. From E = p²/2m and E = n²h²/8ma², show that pa = nh/2a. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. Submit 2a nh n²h² 8ma² n²h²2 4a² nh 2a 4a² n²h² 8ma² n² h² Request Answer art B Complete previous part(s) p²/1 2m so pa and |px| nh 2a
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