(a)
The ratio of the radial probabilities at
(a)
Answer to Problem 25E
The ratio of the radial probabilities at
Explanation of Solution
In a spherical shell, the probability of finding an electron is directly proportional to the radial probability.
Write the expression for the radial probability,
Here, the radius is
Use
Write the expression for the classical turning point.
Here, the classical turning point is
Use equation (II) in equation (I).
Here,
The radial probability at
For
Use
The radial probability for
Conclusion:
Divide equation (III) by (IV).
Therefore, the ratio of the radial probabilities at
(b)
The ratio of the radial probabilities at
(b)
Answer to Problem 25E
The ratio of the radial probabilities at
Explanation of Solution
In a spherical shell, the probability of finding an electron is directly proportional to the radial probability.
Write the expression for the radial probability,
Here, the radius is
Use
Write the expression for the classical turning point.
Here, the classical turning point is
Use equation (II) in equation (I).
Here,
The radial probability at
For
Use
The radial probability for
Conclusion:
Divide equation (VII) by (VIII).
Therefore, the ratio of the radial probabilities at
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Chapter 28 Solutions
General Physics, 2nd Edition
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