Concept explainers
(a)
To show that the given wave function is normalized.
(a)
Answer to Problem 12P
The given wave function is normalized.
Explanation of Solution
Write the condition for the normalization.
Here, dV is the elemental volume of the sphere.
Write the expression for the elemental volume.
Substitute
The integral
Thus, the left hand side and right hand side is equal and the condition for the normalization is satisfied.
Conclusion:
Therefore, the given wave function is normalized.
(b)
The probability of the electron.
(b)
Answer to Problem 12P
The probability of the electron is
Explanation of Solution
Write the expression to calculate the probability.
Substitute
Refer the table of integrals to solve the above expression.
Conclusion:
Therefore, the probability of the electron is
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Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text
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