
Concept explainers
(a)
The expression for the allowed energies of the electron in terms of the quantum numbers
(a)

Answer to Problem 66P
The expression for the allowed energies of the electron in terms of the quantum numbers
Explanation of Solution
Write the expression for the allowed energy levels of the electron is given by,
Here,
Assuming
Conclusion:
Therefore, the expression for the allowed energies of the electron in terms of the quantum numbers
(b)
The values of
(b)

Answer to Problem 66P
The values of
Explanation of Solution
An electron bound to an atom cannot have any value of energy , it can only occupy certain states which corresponds to certain energy levels.
According to
Conclusion:
Therefore, the values of
(c)
The energy of the ground state.
(c)

Answer to Problem 66P
The energy of the ground state is
Explanation of Solution
The allowed energy is given by,
Conclusion:
Substitute
Therefore, the energy of the ground state is
(d)
The possible values of
(d)

Answer to Problem 66P
The possible values of
Explanation of Solution
The least energy it have is corresponding to
Conclusion:
Therefore, The possible values of
(e)
The possible values of
(e)

Answer to Problem 66P
The possible values of
Explanation of Solution
When the electron is the second excited state the possible values of
Conclusion:
Therefore, The possible values of
(f)
The energy of the second excited state.
(f)

Answer to Problem 66P
The energy of the second excited state is
Explanation of Solution
The possible values of
The allowed energy is given by,
Conclusion:
Substitute
Therefore, the energy of the second excited state is
(g)
The energy difference between the ground state and the second excited state.
(g)

Answer to Problem 66P
The energy difference between the ground state and the second excited state is
Explanation of Solution
The energy difference between the ground state and the second excited state is given by,
Conclusion:
Substitute
Therefore, The energy difference between the ground state and the second excited state is
(h)
The wavelength of a photon which cause the transition between the ground state and the second excited state.
(h)

Answer to Problem 66P
The wavelength of a photon which cause the transition between the ground state and the second excited state is
Explanation of Solution
Write the expression for the energy in terms of wavelength.
Here,
Conclusion:
Substitute
Therefore, the wavelength of a photon which cause the transition between the ground state and the second excited state is
Want to see more full solutions like this?
Chapter 28 Solutions
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
- 3. Four identical small masses are connected in a flat perfect square. Rank the relative rotational inertias (IA, IB, IC) about the three axes of rotation shown. Axes A and B are in the plane of the square, and axis C is perpendicular to the plane, through mass m1. ΙΑ IB m2 m1 m3 Ic m4 (a) IAarrow_forwardConsider the circuit shown in the figure below. (Assume L = 5.20 m and R2 = 440 Ω.) (a) When the switch is in position a, for what value of R1 will the circuit have a time constant of 15.4 µs? (b) What is the current in the inductor at the instant the switch is thrown to position b?arrow_forwardCan someone helparrow_forwardCan someone help mearrow_forwardA particle in a box between x=0 and x=6 has the wavefunction Psi(x)=A sin(2πx). How muchenergy is required for the electron to make a transition to Psi(x)= A’ sin(7π x/3). Draw anapproximate graph for the wavefunction. Find A and A'arrow_forwardA proton is moving with 10^8 m/s speed. Find the De Broglie wavelength associated with theproton and the frequency of that wave.arrow_forwardFind the wavelength of the photon if a (Li--) electron makes a transition from n=4 to n=3. Findthe Bohr radius for each state.arrow_forwardA photon with wavelength 3000 nm hits a stationary electron. After the collision electron isscattered to 60 degrees. Find the wavelength and frequency of the scattered photon.arrow_forwardA metal has threshold frequency 10^15. Calculate the maximum kinetic energy of the ejectedelectron if a laser beam with wavelength 1.5 10^-7 m is projected on the metal.arrow_forwardDetermine the direction of the vector V, B, or ♬ that is missing from the pair of vectors shown in each scenario. Here, u is the velocity vector of a moving positive charge, B is a constant and uniform magnetic field, and F is the resulting force on the moving charge. 1. 2. 3. B OB F 4. ↑F F 5. 怔 ↑ ↑F Answer Bank 6. ↑ TE Farrow_forwardTwo point charges (+9.80 nC and -9.80 nC) are located 8.00 cm apart. Let U=0 when all of the charges are separated by infinite distances. What is the potential energy if a third point charge q=-4.20 nC is placed at point b? 8.00 cm 8.00 cm 4.00 +4.00 +4.00- cm cm cm HJarrow_forward! Required information Two chloride ions and two sodium ions are in water, the "effective charge" on the chloride ions (CI¯) is −2.00 × 10-21 C and that of the sodium ions (Na+) is +2.00 x 10-21 C. (The effective charge is a way to account for the partial shielding due to nearby water molecules.) Assume that all four ions are coplanar. CT Na+ Na+ 30.0° 45.0% с сг L. where a = 0.300 nm, b = 0.710 nm, and c = 0.620 nm. What is the direction of electric force on the chloride ion in the lower right-hand corner in the diagram? Enter the angle in degrees where positive indicates above the negative x-axis and negative indicates below the positive x-axis.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College





