Q.37

Expert-verifiedFound in: Page 1139

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Consider the electron wave function

a. Determine the normalization constant c. Your answer will be in terms of L.

b. Draw a graph of over the interval -L x 2L.

c. Draw a graph of over the interval -L x 2L. d. What is the probability that an electron is in the interval 0 x L/3?

The Value of Probability is.

Sub part (a) step1:

For the probability interpretation of to make sense the wave function must satisfy the following equation

The above integrals is expanded as follows

The wave function is defined only in the region therefore substitute csin for thye second integral and zero for the rest of regions

consider the following trigonometric relation

Hence substitute for sin^{2} AND SOLVE FOR C

THEREFORE, THE VALUE OF PROBABILITY IS 40.2%

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