(a)
The energy of the ground state
(a)
Answer to Problem 41P
The energy of the ground state
Explanation of Solution
Given:
The length of one-dimensional box is
Formula used:
The expression for energy of ground state is given by,
The expression for energy of nth states is given by,
Calculation:
The energy of ground stateis calculated as,
Solve further as,
The energy of first excited state is calculated as,
The energy of second excited state is calculated as,
Solve further as,
The energy level diagram of the system is shown in Figure 1.
Figure 1
Conclusion:
Therefore, the energy of the ground state
(b)
The wavelength of
(b)
Answer to Problem 41P
The wavelength of electromagnetic radiation emittedis
Explanation of Solution
Given:
The neutron makes transition from
Formula used:
The expression for wavelength of electromagnetic radiation emitted is given by,
Calculation:
The wavelength of electromagnetic radiation emitted is calculated as,
Solve further as,
Conclusion:
Therefore, the wavelength of electromagnetic radiation emitted is
(c)
The wavelength of electromagnetic radiation emitted.
(c)
Answer to Problem 41P
The wavelength of electromagnetic radiation emitted is
Explanation of Solution
Given:
The neutron makes transition from
Formula used:
The expression for wavelength of electromagnetic radiation emitted is given by,
Calculation:
The wavelength of electromagnetic radiation emitted is calculated as,
Solve further as,
Conclusion:
Therefore, the wavelength of electromagnetic radiation emitted is
(d)
The wavelength of electromagnetic radiation emitted.
(d)
Answer to Problem 41P
The wavelength of electromagnetic radiation emitted is
Explanation of Solution
Given:
The neutron makes transition from
Formula used:
The expression for wavelength of electromagnetic radiation emitted is given by,
Calculation:
The wavelength of electromagnetic radiation emitted is calculated as,
Solve further as,
Conclusion:
Therefore, the wavelength of electromagnetic radiation emitted is
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