Concept explainers
(a)
The ground state energy of the electron
(a)

Answer to Problem 29P
The ground state energy of the electron is
Explanation of Solution
The energy of the emitted photon during the transition from first excited state to the ground state is
Write the expression for energy difference between ground state and first excited state
Here,
Write the relation between
Substituting (II) in (I) and substituting
Rearranging (III)
Conclusion:
Substituting
Thus, the ground state energy of the electron is
(b)
The possible energies of the photon when a downward transition occur starting from the second excited state.
(b)

Answer to Problem 29P
The possible energies of the emitted photons are
Explanation of Solution
When the electron starts from the first excited state, the possible downward transitions are
The transitions are given in the energy level diagram given below
Write the expression for energy of the emitted photon during transition
Here,
Substituting the corresponding values of
Thus, the possible energies of the emitted photons are
Conclusion
Substituting
Substituting
Substituting
Substituting
Thus, the possible energies of the emitted photons are
(c)
The length of the one dimensional box.
(c)

Answer to Problem 29P
The length of the box is
Explanation of Solution
The length of the box is
Write the expression for energy of a particle in a 1D box.
Here,
Rearranging (IX)
Conclusion:
Substitute,
Thus, the length of the box is
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Chapter 28 Solutions
PHYSICS
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