Find the width L of a one-dimensional box for which n-2 level would correspond to theabsolute value of the n=5 state of a hydrogen atomOL=1.66 x 10-°mOL= 1.66 x 10-°mOL=2.66 x 10-10mOL=2.66 x 10 mOL= 2.00 x 10m

SOlution: Given that n =2 level of the box has energy equal to the n=5 state of the hydrogen atom

Answered: Find the width L of a one-dimensional…

Find the width L of a one-dimensional box for which n-2 level would correspond to th absolute value of the n=5 state of a hydrogen atom

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section: Chapter Questions

Problem 64P

See similar textbooks

Related questions

Q: Determine the probability of finding the electron at any distance farther than 2.13a, from the…

Q: Problem 39.12 Show that the ground-state hydrogen atom wavefunction is normalized.

A: Ground state wave function of a hydrogen atom is given by, ψ(r)=1πe-r/aa3/2 where a is the…

Q: How many different sets of of quantum numbers (n, l, ml, ms) are possible for an electron in the 4f…

A: The possible quantum numbers for an electron in a 4f orbital The principal quantum number (n)…

Q: A hydrogen atom is in a state with principal quantum number n = 5. What possible values of the…

A: The equation used to calculate orbital quantum numbers are l=0,1,2,.....n-1

Q: The Zeeman component for the 500 nm spectral line is 0.0116 nm distance when the magnetic field is…

A: Given wavelength(λ)=500 nm ∆λ=0.0116 nm magnetic field (T)=1.00 T required em=?

Q: For a pair of electrons in the 2p state, what is the difference between the number of possible pairs…

Q: Show that the ground-state hydrogen atom wavefunction is normalized.

Q: The radial wave function for the Sf orbital can be expressed as: Rn, Ar) = Ne-/5 p3 (8-2) where N is…

A: orbitals can be written as l=0, s-orbital l=1, p-orbital l=2,d-orbital l=3,f-orbital

Q: A cubical box of widths Lx= Ly = Lz = L contains eight electrons.What multiple of h2/8mL2 gives the…

Q: For an electron in a 3p state, determine the principal quantum number and the orbital quantum…

Q: What is the energy of a Bohr hydrogen atom with a 5.18 nm diameter?

Q: Consider the atomic shell defined by the principal quantum number n 3. What is the maximum number of…

A: Number of subshells associated with principal quantum number is equal to principal quantum number.

Q: Estimate the energy of the characteristic x-ray emitted from a tungsten target when an electron…

Q: Is the state n=3,1=3, mi=-2, ms=1/2 an allowable state? If not, why not? No: The orbital quantum…

A: Answer Option a is correct The orbital quantum number cannot equal to the principal quantum number…

Q: Seven electrons are trapped in a one-dimensional infinite potential well of width L.What multiple of…

Q: Find the energy of the photon required to excite a hydrogenatom from the n = 1 state to the n = 4…

Q: For a particle in a three-dimensional box, if the particle is in the (nx, ny, nz)=(4,3,3) state,…

Q: An atom has an electron in a state with n = 7 and ml = -3. How many distinct values of the orbital…

A: For the principal quantum number (n), the values of orbital quantum number (l) can be 0 to n-1. The…

Q: Calculate the shortest wavelength of the spectral lines emitted in Balmer series. [Given Rydberg…

A: The wavelength of the Balmer series is given by 1λ=RH1n12-1n22 Where, RH is the Rydberg's constant.…

Q: The wavefunction for an electron in the Hydrogen atom is provided in figure 1, where B is a…

A: Given wavefunction of the hydrogen atom, Ψ = B r2e-r3ao sinθ cosθ e-iϕ

Q: If the Hydrogen atom haş a quantum number of 3, solve for the energy and radius.

Q: A hydrogen atom is immersed in a magnetic field so that its energy levels split according to the…

A: The orbital quantum number for the sub shell 4f is 3.So the magnetic quantum number will be

Q: An electron (m = 9.109*10^-31 kg) is confined in a one-dimensional infinite square well of width L =…

A: Energy of an electron in a one-dimensional infinite square well in nth energy level is given by-…

Q: wave function of hydrogen atom is given by sie = sie100+ sie210+3sie211, find the expectation value…

A: Given wave function of hydrogen atom is ψ = ψ100 + ψ210 +3ψ211 Wave function of Hydrogen atom in…

Q: For the electron shell with the value n=3, what are the three permissible values for the angular…

Q: What is the probability of the electron in the 1s state of the hydrogen atom being at a radius…

A: Probability of finding the electron in 1 s state of the hydrogen atom having radius greater than the…

Q: e ground state of a 1D infinite square well (width=1.222nm) is illuminated with light…

A: Width of the infinite square well L = 1.22 nm The wavelength of the light λ= 547 nm Find:- Into…

Q: QUESTION 5 3 πχ 2πz) sin () sin () sin () Consider the case of a 3-dimensional particle-in-a-box.…

Q: In a hydrogen atom, what is the principal quantum number of the electron orbit with a radius closest…

Q: What are the possible values of ml for an electron in the n = 4 state?

A: It is given that,

Q: Find the width L of a one-dimensional box for which n=2 level would correspond to the absolute value…

Q: Calculate the magnitude of the total angular momentum for an electron in a 4d5/2 state.

A: We have an electron which is in a state given by 4d5/2 where n=4 level is the principal quantum…

Q: Find (a) the longest wavelength in the Lyman series and (b) theshortest wavelength in the Paschen…

A: (a)

Q: From the figure find the shortest wavelength present in the Balmer series of hydrogen, I f R =1.097…

A: different series of hydrogen atom are shown in the figure which are as follows : Lyman series,…

Q: In a ground state atom of P how many electrons total will have the quantum number ℓ = 0?

A: Answer The electronic configuration of a neutral atom of Phosphorus is given by P: 1s2 2s2 2p6 3s2…

Q: 4 and 5. (Hint u

Q: Find the excitation energy from the ground level to the third excited level for an electron confined…

Q: What, if any, constraints does a value of ml = 1 place on the other quantum numbers for an electron…

A: Given : magnetic quantum number ml = 1

Q: For an electron in a 6p state, determine the principal quantum number and the orbital quantum…

A: Part (a): Principal Quantum Number (n): It specifies the position and energy of an electron in an…

Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

Find the width L of a one-dimensional box for which n-2 level would correspond to the
absolute value of the n=5 state of a hydrogen atom
OL=1.66 x 10-°m
OL= 1.66 x 10-°m
OL=2.66 x 10-10m
OL=2.66 x 10 m
OL= 2.00 x 10m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If an atom has an election in the n = 5 state with m = 3, what are the possible values of l?
What is the maximum number of orbital angular momentum electron states in the n = 2 shell of a hydrogen atom? (Ignore election spin.)
Show that the maximum number of electron states the nth shell of an atom is 2n2.
Show that the maximum number of orbital angular momentum electron states in the nth shell of an atom is n2. (Ignore electron spin.) (Hint: Make a table of the total number of orbital angular momentum states for each shell and find the pattern.)
Consider a cube of copper with edges 1.50 mm long. Estimate the number of electron quantum states in this cube whose energies are in the range 3.75 to 3.77 eV.
What are the possible values of m for an electron in the n = 4 state?
A hydrogen atom is placed in a magnetic field. Which of the following quantities are affected? (a) total energy; (h) angular momentum; (c) z-component of angular momentum; (d) polar angle.
Ruby lasers have chromium atoms doped in an aluminum oxide crystal. The energy level diagram for chromium in a ruby is shown in Figure 30.64. What wavelength is emitted by a ruby laser? Figure 30.64 Chromium atoms in an aluminum oxide crystal have these energy levels, one of which is metastable. This is the basis of a ruby laser. Visible light can pump the atom into an excited state above the metastable state to achieve a population inversion.
Hydrogen H2 molecules are kept at 300.0 K in a cubical container with a side length of 20.0 cm. Assume that you can treat the molecules as though they were moving in a one-dimensional box. (a) Find the ground state energy of the hydrogen molecule in the container. (b) Assume that the molecule has a thermal energy given by kBT/2 and find the corresponding quantum number n of the quantum state that would correspond to this thermal energy.