(a)
The probability of finding an electron in
(a)
Answer to Problem 61CP
The probability of finding an electron in
Explanation of Solution
A quantum dot is modeled as a one-dimensional box with the length of
Write to formula to find the probability of finding the electron
Here,
Write the formula to find the wave function
Here,
Conclusion:
Substitute equation (II) in (I) and solve
Substitute
Note:
Thus, the probability of finding an electron in
(b)
The probability of finding an electron in
(b)
Answer to Problem 61CP
The probability of finding an electron in
Explanation of Solution
The probability of finding the electron is
Substitute
Note:
Thus, the probability of finding an electron in
(c)
The energy of
(c)
Answer to Problem 61CP
The energy of
Explanation of Solution
The mass of the electron is
Write the formula to find the energy of
Here,
Conclusion:
Substitute
Thus, the energy of
(d)
The energy of
(d)
Answer to Problem 61CP
The energy of
Explanation of Solution
Substitute
Thus, the energy of
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Chapter 41 Solutions
PHYSICS:F/SCI...W/MOD..-UPD(LL)W/ACCES
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