(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
Want to see more full solutions like this?
Chapter 34 Solutions
Physics for Scientists and Engineers, Vol. 3
- Describe the wave functions for the atom, and note how this necessitates the creation of new variables.arrow_forwardIf the ground state energy of a simple harmonic oscillator is 1.25 eV, what is the frequency of its motion?arrow_forwardWhat is the minimum frequency of a photon required to ionize: (a) a He+ ion in its ground stare? (b) A Li2+ ion in its first excited state?arrow_forward
- Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in the region O and L. One possible wave function is (x,t)={AeiEt/hsinxL, when 0xL otherwise Determine the normalization constant.arrow_forwardCheck Your Understanding Find the expectation value of the position for a particle in the ground state of a harmonic oscillator using symmetry.arrow_forwardAn electron is trapped in a one-dimensional infinite well of width 250 pm and is in its ground state.What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a single photon absorption?arrow_forward
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning