Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 7, Problem 56E
(a)
To determine
The most probable location of finding electron.
(b)
To determine
The most probable radius of finding electron
(c)
To determine
To Analyse:Relationship between the answer from part (a) and (b)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What are the values of the following integrals relevant to the description of a hydrogen-
like atom. In each case provide the work that justifies your answer. (If an answer is
written without work or explanation it won't be counted).
(a) ( W43,–1,} | V4,4,–1,- ).
(b) (v,3,–1,} | Ħ |W43,-1. ).
(c) (¼43,-1, | J: |44,3,-1, )-
| J: | W43,–1,} )-
4,3,–1,
(d) ( V4,3,–1,} | Sz |W4,-3,1
-3,-1. ).
(1) Calculate (r) and (r²) for the ground state of the hydrogen atom, expressing your answer in term of the
Bohr radius.
Calculate (x) and (x²) for the ground state of the hydrogen atom. Note that you really do not have to do
any more work than you already did in problem #1 if symmetry properties are invoked.
Using the Bohr formulas, estimate the average distance from the nucleus for an electron in the innermost (n = 1) orbit in uranium (Z = 92). What is its kinetic energy and potential energy? Approximately how much energy would be required to remove it? (if possible with equations and a diagram, thanks)
Chapter 7 Solutions
Modern Physics
Ch. 7 - Prob. 1CQCh. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - What are the dimensions of the spherical harmonics...
Ch. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Prob. 16CQCh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Show that of hydrogen’s spectral seriesLyman,...Ch. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Prob. 37ECh. 7 - A particle orbiting due to an attractive central...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - How many different 3d states are there? What...Ch. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - For states where l=n1 , the radial probability...Ch. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - Prob. 59ECh. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - Prob. 73ECh. 7 - Prob. 74ECh. 7 - Prob. 75ECh. 7 - Prob. 76ECh. 7 - Prob. 77ECh. 7 - Prob. 78ECh. 7 - Prob. 79CECh. 7 - Prob. 80CECh. 7 - Prob. 81CECh. 7 - Prob. 83CECh. 7 - Prob. 84CECh. 7 - Prob. 85CECh. 7 - Prob. 86CECh. 7 - Prob. 87CECh. 7 - Prob. 89CE
Knowledge Booster
Similar questions
- In the relativistic treatment of the hydrogen atom (excluding QED), the 251/2 and 2P1/2 levels are found to be degenerate. Which of the following best describes why? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a The degeneracy is a result of the rotational symmetry of the H-atom b d e The Darwin and spin-orbit terms exactly cancel for both levels Each individual contribution (mass-velocity, Darwin and spin-orbit) to the splitting only depend on the total angular momentum quantum number j The mass-velocity and Darwin terms exactly cancel for both levels The degeneracy is due to a subtle symmetry of a 1/r potential when n = 1 and would no longer be the case for other n.arrow_forwardCalculate the speed of the electron in a hydrogen atom in the state n = 5, in m/s. Express your answer as vx 10° m/s and type in just the value of v. Use three decimals in your answer.arrow_forwardEx. 8: Calculate the energy of the electron in the first orbit in a hydrogen atom. Express the answer in electron volt.arrow_forward
- A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. What fraction of the atomic radius does the separation distance d amount to, roughly? Estimate the voltage you would need with this apparatus to ionize the atom.arrow_forwardIs the total system energy of a dipole a positive potential or a negative potential? Explain your reasoning. HINT: consider the total energy of a bound state atom, where there is a positive nucleus and an electron in orbit/orbitals. Is the electron energy positive or negative energy?arrow_forward) What are the allowed values for total spin angular momentum of the hydrogen atom having 1 proton and 1 electron, a deuterium atom and a tritium atom? Note: Your analysis should be restricted to just the spin angular momentum. The problem is not asking about orbital angular momentum. Based on your results, which atom types (hydrogen, deuterium, tritium) will respond as a composite boson?arrow_forward
- A proton is launched from very far away directly toward the nucleus of a Mercury atom. Ifthe initial speed of the proton is 4.0×107m/s, how close to the nucleus does it get? Take theradius of a Mercury nucleus to be 7.0 fm and assume that it remains at rest. I have tried to answer the question above, and my solution is attached. I was just wondering if the solution that I have is right? I am a bit confused about whether it would be an acceleration or a deceleration?arrow_forwardWhat is the “central-field approximation” and why is it only an approximation?arrow_forwardThe Lennard-Jones parameters for argon are: A = 1.022 x 10-7 J m° and B = 1.579 x 10-134 J m12. Calculate the distance at which the energy will be minimum and calculate the minimum energy. Draw the energy profile also. I.arrow_forward
- For the ground state of the hydrogen atom: (refer to the image). The radial momentum operator is defined by:(refer to the image). Calculate the uncertainty product Δr ∙ Δpr = {(3)1/2/2} ħ in the ground state of the hydrogen atom.arrow_forwardThe formula for paramagnetic susceptibility is valid only if one considers the ground state of the atom. But other excited atomic levels are also present. Explain the following. a) Why is it usually permissible to disregard these higher levels when calculating the susceptibility?arrow_forwardDerive the rn, vn and En the quantized parameters for a hydrogen-like atom with a number of protons that you will keep in your derivation of the answers as Z. Note:1) An example of the situation would for instance He+ with one single electron left to orbit the nucleus of Helium or Li++ with one single electron left to orbit the nucleus of Lithium.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning