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6. Consider a particle in a one-dimensional box. a. For a box of length 1 nm, what is the probability of find- ing the particle within 0.01 nm of the center of the box for the lowest-energy level? b. Answer part (a) for the first excited state. c. The longest-wavelength transition for a particle in a box [not the box in part (a)] is 200 nm. What is the wave- length if the mass of the particle is doubled? What is the wavelength if the charge of the particle is doubled? What is the wavelength if the length of the box is doubled?

6. Consider a particle in a one-dimensional box. a. For a box of length 1 nm, what is the probability of find- ing the particle within 0.01 nm of the center of the box for the lowest-energy level? b. Answer part (a) for the first excited state. c. The longest-wavelength transition for a particle in a box [not the box in part (a)] is 200 nm. What is the wave- length if the mass of the particle is doubled? What is the wavelength if the charge of the particle is doubled? What is the wavelength if the length of the box is doubled?

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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6. Consider a particle in a one-dimensional box. a. For a box of length 1 nm, what is the probability of find- ing the particle within 0.01 nm of the center of the box for the lowest-energy level? b. Answer part (a) for the first excited state. c. The longest-wavelength transition for a particle in a box [not the box in part (a)] is 200 nm. What is the wave- length if the mass of the particle is doubled? What is the wavelength if the charge of the particle is doubled? What is the wavelength if the length of the box is doubled?
Transcribed Image Text:6. Consider a particle in a one-dimensional box. a. For a box of length 1 nm, what is the probability of find- ing the particle within 0.01 nm of the center of the box for the lowest-energy level? b. Answer part (a) for the first excited state. c. The longest-wavelength transition for a particle in a box [not the box in part (a)] is 200 nm. What is the wave- length if the mass of the particle is doubled? What is the wavelength if the charge of the particle is doubled? What is the wavelength if the length of the box is doubled?
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