ability that the result (a) lies between 0.9000 nm and 0.9001 nm (treat this interval as infini-tesimal); (b) lies between 0 and 2 nm (use the table of integrals in the Appendix, if necessary).(c) For what value of x is the probability density a minimum? (There is no need to use calculusto answer this.) (d) Verify that is normalized.1.13 A one-particle, one-dimensional system has the state function= (sin at) (2/mc²) ¹/4-²¹/² + (cos at) (32/mc) ¹/4xe-x²³/²where a is a constant and c = 2.000 A. If the particle's position is measured at t = 0, estimatethe probability that the result will lie between 2.000 Å and 2.001 A.1.14 Use Eq. (1.23) to find the answer to part (a) of the example at the end of Section 1.6 andcompare it with the approximate answer found in the example.1.15 Which of the following functions meet all the requirements of a probability-density function

1.13 A one-particle, one-dimensional system has the state function = (sin ar) (2/mc²)¹/4²³1²³² + (cos at) (32/mc²) ¹/²4 x 2²/²² where a is a constant and c = 2.000 Å. If the particle's position is measured at r = 0, estimate the probability that the result will lie between 2.000 Å and 2.001 A.

1.13 A one-particle, one-dimensional system has the state function = (sin ar) (2/mc²)¹/4²³1²³² + (cos at) (32/mc²) ¹/²4 x 2²/²² where a is a constant and c = 2.000 Å. If the particle's position is measured at r = 0, estimate the probability that the result will lie between 2.000 Å and 2.001 A.

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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